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Finding the Fourth Proportional to 73,049.76, 109,590.96 and 23,132.64

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Solution

The fourth proportional to 73,049.76, 109,590.96 and 23,132.64 is: 34,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,049.76 : 109,590.96 = 23,132.64 : x
  2. Step 2: Convert to fraction form
    73,049.76/109,590.96 = 23,132.64/x
  3. Step 3: Cross multiply
    73,049.76x = 109,590.96 × 23,132.64
  4. Step 4: Simplify right side
    73,049.76x = 2,535,128,224.93
  5. Step 5: Solve for x
    x = 2,535,128,224.93/73,049.76
  6. Step 6: Final answer
    x = 34,704.13

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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.