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Finding the Fourth Proportional to 32,471.16, 48,708 and 9,097.02

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Solution

The fourth proportional to 32,471.16, 48,708 and 9,097.02 is: 13,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.16 : 48,708 = 9,097.02 : x
  2. Step 2: Convert to fraction form
    32,471.16/48,708 = 9,097.02/x
  3. Step 3: Cross multiply
    32,471.16x = 48,708 × 9,097.02
  4. Step 4: Simplify right side
    32,471.16x = 443,097,650.16
  5. Step 5: Solve for x
    x = 443,097,650.16/32,471.16
  6. Step 6: Final answer
    x = 13,645.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.