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Finding the Fourth Proportional to 52,039.50, 71,814.38 and 28,166.17

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Solution

The fourth proportional to 52,039.50, 71,814.38 and 28,166.17 is: 38,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,039.50 : 71,814.38 = 28,166.17 : x
  2. Step 2: Convert to fraction form
    52,039.50/71,814.38 = 28,166.17/x
  3. Step 3: Cross multiply
    52,039.50x = 71,814.38 × 28,166.17
  4. Step 4: Simplify right side
    52,039.50x = 2,022,735,715.16
  5. Step 5: Solve for x
    x = 2,022,735,715.16/52,039.50
  6. Step 6: Final answer
    x = 38,869.24

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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.