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Finding the Fourth Proportional to 47,496.68, 71,229.42 and 17,504

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Solution

The fourth proportional to 47,496.68, 71,229.42 and 17,504 is: 26,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,496.68 : 71,229.42 = 17,504 : x
  2. Step 2: Convert to fraction form
    47,496.68/71,229.42 = 17,504/x
  3. Step 3: Cross multiply
    47,496.68x = 71,229.42 × 17,504
  4. Step 4: Simplify right side
    47,496.68x = 1,246,799,767.68
  5. Step 5: Solve for x
    x = 1,246,799,767.68/47,496.68
  6. Step 6: Final answer
    x = 26,250.25

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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.