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Finding the Fourth Proportional to 77,289.76, 115,924.96 and 24,694.88

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Solution

The fourth proportional to 77,289.76, 115,924.96 and 24,694.88 is: 37,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,289.76 : 115,924.96 = 24,694.88 : x
  2. Step 2: Convert to fraction form
    77,289.76/115,924.96 = 24,694.88/x
  3. Step 3: Cross multiply
    77,289.76x = 115,924.96 × 24,694.88
  4. Step 4: Simplify right side
    77,289.76x = 2,862,752,976.20
  5. Step 5: Solve for x
    x = 2,862,752,976.20/77,289.76
  6. Step 6: Final answer
    x = 37,039.23

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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.