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Finding the Fourth Proportional to 57,034.59, 78,710.31 and 31,884.09

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Solution

The fourth proportional to 57,034.59, 78,710.31 and 31,884.09 is: 44,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,034.59 : 78,710.31 = 31,884.09 : x
  2. Step 2: Convert to fraction form
    57,034.59/78,710.31 = 31,884.09/x
  3. Step 3: Cross multiply
    57,034.59x = 78,710.31 × 31,884.09
  4. Step 4: Simplify right side
    57,034.59x = 2,509,606,607.97
  5. Step 5: Solve for x
    x = 2,509,606,607.97/57,034.59
  6. Step 6: Final answer
    x = 44,001.48

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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.