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Finding the Fourth Proportional to 32,447.00, 48,679.14 and 10,260.78

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Solution

The fourth proportional to 32,447.00, 48,679.14 and 10,260.78 is: 15,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.00 : 48,679.14 = 10,260.78 : x
  2. Step 2: Convert to fraction form
    32,447.00/48,679.14 = 10,260.78/x
  3. Step 3: Cross multiply
    32,447.00x = 48,679.14 × 10,260.78
  4. Step 4: Simplify right side
    32,447.00x = 499,485,946.13
  5. Step 5: Solve for x
    x = 499,485,946.13/32,447.00
  6. Step 6: Final answer
    x = 15,393.90

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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.