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Finding the Fourth Proportional to 59,692.32, 82,376.64 and 32,834.88

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Solution

The fourth proportional to 59,692.32, 82,376.64 and 32,834.88 is: 45,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,692.32 : 82,376.64 = 32,834.88 : x
  2. Step 2: Convert to fraction form
    59,692.32/82,376.64 = 32,834.88/x
  3. Step 3: Cross multiply
    59,692.32x = 82,376.64 × 32,834.88
  4. Step 4: Simplify right side
    59,692.32x = 2,704,827,089.20
  5. Step 5: Solve for x
    x = 2,704,827,089.20/59,692.32
  6. Step 6: Final answer
    x = 45,312.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.