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Finding the Fourth Proportional to 31,402.65, 47,104.76 and 9,213.69

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Solution

The fourth proportional to 31,402.65, 47,104.76 and 9,213.69 is: 13,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.65 : 47,104.76 = 9,213.69 : x
  2. Step 2: Convert to fraction form
    31,402.65/47,104.76 = 9,213.69/x
  3. Step 3: Cross multiply
    31,402.65x = 47,104.76 × 9,213.69
  4. Step 4: Simplify right side
    31,402.65x = 434,008,610.10
  5. Step 5: Solve for x
    x = 434,008,610.10/31,402.65
  6. Step 6: Final answer
    x = 13,820.76

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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.