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Finding the Fourth Proportional to 31,451.66, 47,177.41 and 9,265.01

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Solution

The fourth proportional to 31,451.66, 47,177.41 and 9,265.01 is: 13,897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,451.66 : 47,177.41 = 9,265.01 : x
  2. Step 2: Convert to fraction form
    31,451.66/47,177.41 = 9,265.01/x
  3. Step 3: Cross multiply
    31,451.66x = 47,177.41 × 9,265.01
  4. Step 4: Simplify right side
    31,451.66x = 437,098,893.21
  5. Step 5: Solve for x
    x = 437,098,893.21/31,451.66
  6. Step 6: Final answer
    x = 13,897.48

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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.