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Finding the Fourth Proportional to 57,531.60, 86,246.10 and 22,463.10

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Solution

The fourth proportional to 57,531.60, 86,246.10 and 22,463.10 is: 33,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,531.60 : 86,246.10 = 22,463.10 : x
  2. Step 2: Convert to fraction form
    57,531.60/86,246.10 = 22,463.10/x
  3. Step 3: Cross multiply
    57,531.60x = 86,246.10 × 22,463.10
  4. Step 4: Simplify right side
    57,531.60x = 1,937,354,768.91
  5. Step 5: Solve for x
    x = 1,937,354,768.91/57,531.60
  6. Step 6: Final answer
    x = 33,674.62

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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.