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Finding the Fourth Proportional to 57,098.72, 78,795.14 and 31,605.11

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Solution

The fourth proportional to 57,098.72, 78,795.14 and 31,605.11 is: 43,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,098.72 : 78,795.14 = 31,605.11 : x
  2. Step 2: Convert to fraction form
    57,098.72/78,795.14 = 31,605.11/x
  3. Step 3: Cross multiply
    57,098.72x = 78,795.14 × 31,605.11
  4. Step 4: Simplify right side
    57,098.72x = 2,490,328,929.17
  5. Step 5: Solve for x
    x = 2,490,328,929.17/57,098.72
  6. Step 6: Final answer
    x = 43,614.45

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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.