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Finding the Fourth Proportional to 73,322.12, 109,974.54 and 57,744.20

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Solution

The fourth proportional to 73,322.12, 109,974.54 and 57,744.20 is: 86,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,322.12 : 109,974.54 = 57,744.20 : x
  2. Step 2: Convert to fraction form
    73,322.12/109,974.54 = 57,744.20/x
  3. Step 3: Cross multiply
    73,322.12x = 109,974.54 × 57,744.20
  4. Step 4: Simplify right side
    73,322.12x = 6,350,391,832.67
  5. Step 5: Solve for x
    x = 6,350,391,832.67/73,322.12
  6. Step 6: Final answer
    x = 86,609.50

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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.