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Finding the Fourth Proportional to 73,151.98, 109,686.92 and 23,222.78

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Solution

The fourth proportional to 73,151.98, 109,686.92 and 23,222.78 is: 34,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,151.98 : 109,686.92 = 23,222.78 : x
  2. Step 2: Convert to fraction form
    73,151.98/109,686.92 = 23,222.78/x
  3. Step 3: Cross multiply
    73,151.98x = 109,686.92 × 23,222.78
  4. Step 4: Simplify right side
    73,151.98x = 2,547,235,212.04
  5. Step 5: Solve for x
    x = 2,547,235,212.04/73,151.98
  6. Step 6: Final answer
    x = 34,821.14

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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.