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Finding the Fourth Proportional to 42,692.42, 64,041.70 and 16,397.16

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Solution

The fourth proportional to 42,692.42, 64,041.70 and 16,397.16 is: 24,596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,692.42 : 64,041.70 = 16,397.16 : x
  2. Step 2: Convert to fraction form
    42,692.42/64,041.70 = 16,397.16/x
  3. Step 3: Cross multiply
    42,692.42x = 64,041.70 × 16,397.16
  4. Step 4: Simplify right side
    42,692.42x = 1,050,102,001.57
  5. Step 5: Solve for x
    x = 1,050,102,001.57/42,692.42
  6. Step 6: Final answer
    x = 24,596.92

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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.