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Finding the Fourth Proportional to 83,555.72, 115,306.41 and 45,314.88

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Solution

The fourth proportional to 83,555.72, 115,306.41 and 45,314.88 is: 62,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,555.72 : 115,306.41 = 45,314.88 : x
  2. Step 2: Convert to fraction form
    83,555.72/115,306.41 = 45,314.88/x
  3. Step 3: Cross multiply
    83,555.72x = 115,306.41 × 45,314.88
  4. Step 4: Simplify right side
    83,555.72x = 5,225,096,132.38
  5. Step 5: Solve for x
    x = 5,225,096,132.38/83,555.72
  6. Step 6: Final answer
    x = 62,534.28

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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.