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Finding the Fourth Proportional to 83,686.38, 115,429.88 and 53,458.27

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Solution

The fourth proportional to 83,686.38, 115,429.88 and 53,458.27 is: 73,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,686.38 : 115,429.88 = 53,458.27 : x
  2. Step 2: Convert to fraction form
    83,686.38/115,429.88 = 53,458.27/x
  3. Step 3: Cross multiply
    83,686.38x = 115,429.88 × 53,458.27
  4. Step 4: Simplify right side
    83,686.38x = 6,170,681,568.10
  5. Step 5: Solve for x
    x = 6,170,681,568.10/83,686.38
  6. Step 6: Final answer
    x = 73,735.80

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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.