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Finding the Fourth Proportional to 76,937.38, 106,191.27 and 45,116.53

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Solution

The fourth proportional to 76,937.38, 106,191.27 and 45,116.53 is: 62,271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,937.38 : 106,191.27 = 45,116.53 : x
  2. Step 2: Convert to fraction form
    76,937.38/106,191.27 = 45,116.53/x
  3. Step 3: Cross multiply
    76,937.38x = 106,191.27 × 45,116.53
  4. Step 4: Simplify right side
    76,937.38x = 4,790,981,353.21
  5. Step 5: Solve for x
    x = 4,790,981,353.21/76,937.38
  6. Step 6: Final answer
    x = 62,271.18

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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.