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Finding the Fourth Proportional to 55,034.28, 75,948.12 and 31,160.28

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Solution

The fourth proportional to 55,034.28, 75,948.12 and 31,160.28 is: 43,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,034.28 : 75,948.12 = 31,160.28 : x
  2. Step 2: Convert to fraction form
    55,034.28/75,948.12 = 31,160.28/x
  3. Step 3: Cross multiply
    55,034.28x = 75,948.12 × 31,160.28
  4. Step 4: Simplify right side
    55,034.28x = 2,366,564,684.67
  5. Step 5: Solve for x
    x = 2,366,564,684.67/55,034.28
  6. Step 6: Final answer
    x = 43,001.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.