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Finding the Fourth Proportional to 76,687.74, 115,048.89 and 23,384.43

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Solution

The fourth proportional to 76,687.74, 115,048.89 and 23,384.43 is: 35,081.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,687.74 : 115,048.89 = 23,384.43 : x
  2. Step 2: Convert to fraction form
    76,687.74/115,048.89 = 23,384.43/x
  3. Step 3: Cross multiply
    76,687.74x = 115,048.89 × 23,384.43
  4. Step 4: Simplify right side
    76,687.74x = 2,690,352,714.78
  5. Step 5: Solve for x
    x = 2,690,352,714.78/76,687.74
  6. Step 6: Final answer
    x = 35,081.91

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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.