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Finding the Fourth Proportional to 73,766.60, 110,693.10 and 27,024.20

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Solution

The fourth proportional to 73,766.60, 110,693.10 and 27,024.20 is: 40,552.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,766.60 : 110,693.10 = 27,024.20 : x
  2. Step 2: Convert to fraction form
    73,766.60/110,693.10 = 27,024.20/x
  3. Step 3: Cross multiply
    73,766.60x = 110,693.10 × 27,024.20
  4. Step 4: Simplify right side
    73,766.60x = 2,991,392,473.02
  5. Step 5: Solve for x
    x = 2,991,392,473.02/73,766.60
  6. Step 6: Final answer
    x = 40,552.13

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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.