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Finding the Fourth Proportional to 73,253.67, 109,885.97 and 31,129.02

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Solution

The fourth proportional to 73,253.67, 109,885.97 and 31,129.02 is: 46,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,253.67 : 109,885.97 = 31,129.02 : x
  2. Step 2: Convert to fraction form
    73,253.67/109,885.97 = 31,129.02/x
  3. Step 3: Cross multiply
    73,253.67x = 109,885.97 × 31,129.02
  4. Step 4: Simplify right side
    73,253.67x = 3,420,642,402.20
  5. Step 5: Solve for x
    x = 3,420,642,402.20/73,253.67
  6. Step 6: Final answer
    x = 46,695.85

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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.