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Finding the Fourth Proportional to 71,797.60, 107,894.04 and 38,542.24

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Solution

The fourth proportional to 71,797.60, 107,894.04 and 38,542.24 is: 57,919.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,797.60 : 107,894.04 = 38,542.24 : x
  2. Step 2: Convert to fraction form
    71,797.60/107,894.04 = 38,542.24/x
  3. Step 3: Cross multiply
    71,797.60x = 107,894.04 × 38,542.24
  4. Step 4: Simplify right side
    71,797.60x = 4,158,477,984.25
  5. Step 5: Solve for x
    x = 4,158,477,984.25/71,797.60
  6. Step 6: Final answer
    x = 57,919.46

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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.