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Finding the Fourth Proportional to 77,296.45, 115,939.00 and 24,691.81

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Solution

The fourth proportional to 77,296.45, 115,939.00 and 24,691.81 is: 37,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,296.45 : 115,939.00 = 24,691.81 : x
  2. Step 2: Convert to fraction form
    77,296.45/115,939.00 = 24,691.81/x
  3. Step 3: Cross multiply
    77,296.45x = 115,939.00 × 24,691.81
  4. Step 4: Simplify right side
    77,296.45x = 2,862,743,118.17
  5. Step 5: Solve for x
    x = 2,862,743,118.17/77,296.45
  6. Step 6: Final answer
    x = 37,035.90

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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.