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Finding the Fourth Proportional to 73,564.67, 110,354.63 and 31,449.20

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Solution

The fourth proportional to 73,564.67, 110,354.63 and 31,449.20 is: 47,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,564.67 : 110,354.63 = 31,449.20 : x
  2. Step 2: Convert to fraction form
    73,564.67/110,354.63 = 31,449.20/x
  3. Step 3: Cross multiply
    73,564.67x = 110,354.63 × 31,449.20
  4. Step 4: Simplify right side
    73,564.67x = 3,470,564,120.78
  5. Step 5: Solve for x
    x = 3,470,564,120.78/73,564.67
  6. Step 6: Final answer
    x = 47,177.05

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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.