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Finding the Fourth Proportional to 73,821.58, 110,728.42 and 36,344.30

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Solution

The fourth proportional to 73,821.58, 110,728.42 and 36,344.30 is: 54,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,821.58 : 110,728.42 = 36,344.30 : x
  2. Step 2: Convert to fraction form
    73,821.58/110,728.42 = 36,344.30/x
  3. Step 3: Cross multiply
    73,821.58x = 110,728.42 × 36,344.30
  4. Step 4: Simplify right side
    73,821.58x = 4,024,346,270.50
  5. Step 5: Solve for x
    x = 4,024,346,270.50/73,821.58
  6. Step 6: Final answer
    x = 54,514.50

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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.