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Finding the Fourth Proportional to 83,763.38, 115,593.72 and 47,953.66

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Solution

The fourth proportional to 83,763.38, 115,593.72 and 47,953.66 is: 66,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,763.38 : 115,593.72 = 47,953.66 : x
  2. Step 2: Convert to fraction form
    83,763.38/115,593.72 = 47,953.66/x
  3. Step 3: Cross multiply
    83,763.38x = 115,593.72 × 47,953.66
  4. Step 4: Simplify right side
    83,763.38x = 5,543,141,947.02
  5. Step 5: Solve for x
    x = 5,543,141,947.02/83,763.38
  6. Step 6: Final answer
    x = 66,176.20

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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.