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Finding the Fourth Proportional to 55,134.28, 76,085.31 and 29,983.78

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Solution

The fourth proportional to 55,134.28, 76,085.31 and 29,983.78 is: 41,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,134.28 : 76,085.31 = 29,983.78 : x
  2. Step 2: Convert to fraction form
    55,134.28/76,085.31 = 29,983.78/x
  3. Step 3: Cross multiply
    55,134.28x = 76,085.31 × 29,983.78
  4. Step 4: Simplify right side
    55,134.28x = 2,281,325,291.38
  5. Step 5: Solve for x
    x = 2,281,325,291.38/55,134.28
  6. Step 6: Final answer
    x = 41,377.62

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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.