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Finding the Fourth Proportional to 59,742.57, 82,402.76 and 39,318.13

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Solution

The fourth proportional to 59,742.57, 82,402.76 and 39,318.13 is: 54,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,742.57 : 82,402.76 = 39,318.13 : x
  2. Step 2: Convert to fraction form
    59,742.57/82,402.76 = 39,318.13/x
  3. Step 3: Cross multiply
    59,742.57x = 82,402.76 × 39,318.13
  4. Step 4: Simplify right side
    59,742.57x = 3,239,922,557.62
  5. Step 5: Solve for x
    x = 3,239,922,557.62/59,742.57
  6. Step 6: Final answer
    x = 54,231.39

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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.