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Finding the Fourth Proportional to 76,997.52, 115,506 and 24,388.20

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Solution

The fourth proportional to 76,997.52, 115,506 and 24,388.20 is: 36,585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,997.52 : 115,506 = 24,388.20 : x
  2. Step 2: Convert to fraction form
    76,997.52/115,506 = 24,388.20/x
  3. Step 3: Cross multiply
    76,997.52x = 115,506 × 24,388.20
  4. Step 4: Simplify right side
    76,997.52x = 2,816,983,429.20
  5. Step 5: Solve for x
    x = 2,816,983,429.20/76,997.52
  6. Step 6: Final answer
    x = 36,585.38

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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.