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Finding the Fourth Proportional to 31,672.28, 47,492.52 and 10,605.08

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Solution

The fourth proportional to 31,672.28, 47,492.52 and 10,605.08 is: 15,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672.28 : 47,492.52 = 10,605.08 : x
  2. Step 2: Convert to fraction form
    31,672.28/47,492.52 = 10,605.08/x
  3. Step 3: Cross multiply
    31,672.28x = 47,492.52 × 10,605.08
  4. Step 4: Simplify right side
    31,672.28x = 503,661,974.00
  5. Step 5: Solve for x
    x = 503,661,974.00/31,672.28
  6. Step 6: Final answer
    x = 15,902.30

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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.