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Finding the Fourth Proportional to 73,742.60, 110,657.10 and 27,000.20

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Solution

The fourth proportional to 73,742.60, 110,657.10 and 27,000.20 is: 40,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,742.60 : 110,657.10 = 27,000.20 : x
  2. Step 2: Convert to fraction form
    73,742.60/110,657.10 = 27,000.20/x
  3. Step 3: Cross multiply
    73,742.60x = 110,657.10 × 27,000.20
  4. Step 4: Simplify right side
    73,742.60x = 2,987,763,831.42
  5. Step 5: Solve for x
    x = 2,987,763,831.42/73,742.60
  6. Step 6: Final answer
    x = 40,516.12

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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.