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Finding the Fourth Proportional to 52,037.80, 71,812.28 and 28,164.68

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Solution

The fourth proportional to 52,037.80, 71,812.28 and 28,164.68 is: 38,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,037.80 : 71,812.28 = 28,164.68 : x
  2. Step 2: Convert to fraction form
    52,037.80/71,812.28 = 28,164.68/x
  3. Step 3: Cross multiply
    52,037.80x = 71,812.28 × 28,164.68
  4. Step 4: Simplify right side
    52,037.80x = 2,022,569,886.27
  5. Step 5: Solve for x
    x = 2,022,569,886.27/52,037.80
  6. Step 6: Final answer
    x = 38,867.32

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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.