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Finding the Fourth Proportional to 83,874.81, 115,747.24 and 46,149.06

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Solution

The fourth proportional to 83,874.81, 115,747.24 and 46,149.06 is: 63,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,874.81 : 115,747.24 = 46,149.06 : x
  2. Step 2: Convert to fraction form
    83,874.81/115,747.24 = 46,149.06/x
  3. Step 3: Cross multiply
    83,874.81x = 115,747.24 × 46,149.06
  4. Step 4: Simplify right side
    83,874.81x = 5,341,626,323.59
  5. Step 5: Solve for x
    x = 5,341,626,323.59/83,874.81
  6. Step 6: Final answer
    x = 63,685.70

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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.