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Finding the Fourth Proportional to 31,902.56, 47,864.12 and 9,720.24

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Solution

The fourth proportional to 31,902.56, 47,864.12 and 9,720.24 is: 14,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,902.56 : 47,864.12 = 9,720.24 : x
  2. Step 2: Convert to fraction form
    31,902.56/47,864.12 = 9,720.24/x
  3. Step 3: Cross multiply
    31,902.56x = 47,864.12 × 9,720.24
  4. Step 4: Simplify right side
    31,902.56x = 465,250,733.79
  5. Step 5: Solve for x
    x = 465,250,733.79/31,902.56
  6. Step 6: Final answer
    x = 14,583.49

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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.