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Finding the Fourth Proportional to 73,159.90, 109,743.87 and 20,565.22

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Solution

The fourth proportional to 73,159.90, 109,743.87 and 20,565.22 is: 30,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,159.90 : 109,743.87 = 20,565.22 : x
  2. Step 2: Convert to fraction form
    73,159.90/109,743.87 = 20,565.22/x
  3. Step 3: Cross multiply
    73,159.90x = 109,743.87 × 20,565.22
  4. Step 4: Simplify right side
    73,159.90x = 2,256,906,830.20
  5. Step 5: Solve for x
    x = 2,256,906,830.20/73,159.90
  6. Step 6: Final answer
    x = 30,848.96

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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.