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Finding the Fourth Proportional to 31,548.89, 47,332.46 and 10,201.15

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Solution

The fourth proportional to 31,548.89, 47,332.46 and 10,201.15 is: 15,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,548.89 : 47,332.46 = 10,201.15 : x
  2. Step 2: Convert to fraction form
    31,548.89/47,332.46 = 10,201.15/x
  3. Step 3: Cross multiply
    31,548.89x = 47,332.46 × 10,201.15
  4. Step 4: Simplify right side
    31,548.89x = 482,845,524.33
  5. Step 5: Solve for x
    x = 482,845,524.33/31,548.89
  6. Step 6: Final answer
    x = 15,304.68

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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.