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Finding the Fourth Proportional to 57,107.15, 85,645.06 and 31,775.47

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Solution

The fourth proportional to 57,107.15, 85,645.06 and 31,775.47 is: 47,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,107.15 : 85,645.06 = 31,775.47 : x
  2. Step 2: Convert to fraction form
    57,107.15/85,645.06 = 31,775.47/x
  3. Step 3: Cross multiply
    57,107.15x = 85,645.06 × 31,775.47
  4. Step 4: Simplify right side
    57,107.15x = 2,721,412,034.68
  5. Step 5: Solve for x
    x = 2,721,412,034.68/57,107.15
  6. Step 6: Final answer
    x = 47,654.49

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