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Finding the Fourth Proportional to 31,767.54, 47,655.69 and 10,713.60

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Solution

The fourth proportional to 31,767.54, 47,655.69 and 10,713.60 is: 16,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,767.54 : 47,655.69 = 10,713.60 : x
  2. Step 2: Convert to fraction form
    31,767.54/47,655.69 = 10,713.60/x
  3. Step 3: Cross multiply
    31,767.54x = 47,655.69 × 10,713.60
  4. Step 4: Simplify right side
    31,767.54x = 510,564,000.38
  5. Step 5: Solve for x
    x = 510,564,000.38/31,767.54
  6. Step 6: Final answer
    x = 16,071.88

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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.