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Finding the Fourth Proportional to 83,565.92, 115,255.80 and 51,752.48

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Solution

The fourth proportional to 83,565.92, 115,255.80 and 51,752.48 is: 71,378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,565.92 : 115,255.80 = 51,752.48 : x
  2. Step 2: Convert to fraction form
    83,565.92/115,255.80 = 51,752.48/x
  3. Step 3: Cross multiply
    83,565.92x = 115,255.80 × 51,752.48
  4. Step 4: Simplify right side
    83,565.92x = 5,964,773,484.38
  5. Step 5: Solve for x
    x = 5,964,773,484.38/83,565.92
  6. Step 6: Final answer
    x = 71,378.06

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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.