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Finding the Fourth Proportional to 31,365.88, 47,053.20 and 9,180.86

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Solution

The fourth proportional to 31,365.88, 47,053.20 and 9,180.86 is: 13,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,365.88 : 47,053.20 = 9,180.86 : x
  2. Step 2: Convert to fraction form
    31,365.88/47,053.20 = 9,180.86/x
  3. Step 3: Cross multiply
    31,365.88x = 47,053.20 × 9,180.86
  4. Step 4: Simplify right side
    31,365.88x = 431,988,841.75
  5. Step 5: Solve for x
    x = 431,988,841.75/31,365.88
  6. Step 6: Final answer
    x = 13,772.57

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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.