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Finding the Fourth Proportional to 31,399.76, 47,101.80 and 10,616.24

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Solution

The fourth proportional to 31,399.76, 47,101.80 and 10,616.24 is: 15,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,399.76 : 47,101.80 = 10,616.24 : x
  2. Step 2: Convert to fraction form
    31,399.76/47,101.80 = 10,616.24/x
  3. Step 3: Cross multiply
    31,399.76x = 47,101.80 × 10,616.24
  4. Step 4: Simplify right side
    31,399.76x = 500,044,013.23
  5. Step 5: Solve for x
    x = 500,044,013.23/31,399.76
  6. Step 6: Final answer
    x = 15,925.09

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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.