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Finding the Fourth Proportional to 47,497.68, 71,230.92 and 17,505

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Solution

The fourth proportional to 47,497.68, 71,230.92 and 17,505 is: 26,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,497.68 : 71,230.92 = 17,505 : x
  2. Step 2: Convert to fraction form
    47,497.68/71,230.92 = 17,505/x
  3. Step 3: Cross multiply
    47,497.68x = 71,230.92 × 17,505
  4. Step 4: Simplify right side
    47,497.68x = 1,246,897,254.60
  5. Step 5: Solve for x
    x = 1,246,897,254.60/47,497.68
  6. Step 6: Final answer
    x = 26,251.75

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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.