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Finding the Fourth Proportional to 32,487.87, 48,694.64 and 14,732.06

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Solution

The fourth proportional to 32,487.87, 48,694.64 and 14,732.06 is: 22,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,487.87 : 48,694.64 = 14,732.06 : x
  2. Step 2: Convert to fraction form
    32,487.87/48,694.64 = 14,732.06/x
  3. Step 3: Cross multiply
    32,487.87x = 48,694.64 × 14,732.06
  4. Step 4: Simplify right side
    32,487.87x = 717,372,358.16
  5. Step 5: Solve for x
    x = 717,372,358.16/32,487.87
  6. Step 6: Final answer
    x = 22,081.24

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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.