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Finding the Fourth Proportional to 47,498.26, 71,221.08 and 19,438

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Solution

The fourth proportional to 47,498.26, 71,221.08 and 19,438 is: 29,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,498.26 : 71,221.08 = 19,438 : x
  2. Step 2: Convert to fraction form
    47,498.26/71,221.08 = 19,438/x
  3. Step 3: Cross multiply
    47,498.26x = 71,221.08 × 19,438
  4. Step 4: Simplify right side
    47,498.26x = 1,384,395,353.04
  5. Step 5: Solve for x
    x = 1,384,395,353.04/47,498.26
  6. Step 6: Final answer
    x = 29,146.23

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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.