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Finding the Fourth Proportional to 55,717.56, 83,532.56 and 38,134.08

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Solution

The fourth proportional to 55,717.56, 83,532.56 and 38,134.08 is: 57,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,717.56 : 83,532.56 = 38,134.08 : x
  2. Step 2: Convert to fraction form
    55,717.56/83,532.56 = 38,134.08/x
  3. Step 3: Cross multiply
    55,717.56x = 83,532.56 × 38,134.08
  4. Step 4: Simplify right side
    55,717.56x = 3,185,437,134.97
  5. Step 5: Solve for x
    x = 3,185,437,134.97/55,717.56
  6. Step 6: Final answer
    x = 57,171.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.