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Finding the Fourth Proportional to 57,014.38, 78,673.03 and 31,517.31

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Solution

The fourth proportional to 57,014.38, 78,673.03 and 31,517.31 is: 43,490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,014.38 : 78,673.03 = 31,517.31 : x
  2. Step 2: Convert to fraction form
    57,014.38/78,673.03 = 31,517.31/x
  3. Step 3: Cross multiply
    57,014.38x = 78,673.03 × 31,517.31
  4. Step 4: Simplify right side
    57,014.38x = 2,479,562,275.15
  5. Step 5: Solve for x
    x = 2,479,562,275.15/57,014.38
  6. Step 6: Final answer
    x = 43,490.12

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Why These Related Problems?

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