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Finding the Fourth Proportional to 32,597,692.20, 48,902,443.20 and 16,382,836.80

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Solution

The fourth proportional to 32,597,692.20, 48,902,443.20 and 16,382,836.80 is: 24,577,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,597,692.20 : 48,902,443.20 = 16,382,836.80 : x
  2. Step 2: Convert to fraction form
    32,597,692.20/48,902,443.20 = 16,382,836.80/x
  3. Step 3: Cross multiply
    32,597,692.20x = 48,902,443.20 × 16,382,836.80
  4. Step 4: Simplify right side
    32,597,692.20x = 801,160,746,066,869.88
  5. Step 5: Solve for x
    x = 801,160,746,066,869.88/32,597,692.20
  6. Step 6: Final answer
    x = 24,577,222.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.