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Finding the Fourth Proportional to 57,207.47, 78,939 and 31,713.60

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Solution

The fourth proportional to 57,207.47, 78,939 and 31,713.60 is: 43,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,207.47 : 78,939 = 31,713.60 : x
  2. Step 2: Convert to fraction form
    57,207.47/78,939 = 31,713.60/x
  3. Step 3: Cross multiply
    57,207.47x = 78,939 × 31,713.60
  4. Step 4: Simplify right side
    57,207.47x = 2,503,439,574.38
  5. Step 5: Solve for x
    x = 2,503,439,574.38/57,207.47
  6. Step 6: Final answer
    x = 43,760.71

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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.