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Finding the Fourth Proportional to 24,178.50, 36,275.85 and 21,849.30

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Solution

The fourth proportional to 24,178.50, 36,275.85 and 21,849.30 is: 32,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.50 : 36,275.85 = 21,849.30 : x
  2. Step 2: Convert to fraction form
    24,178.50/36,275.85 = 21,849.30/x
  3. Step 3: Cross multiply
    24,178.50x = 36,275.85 × 21,849.30
  4. Step 4: Simplify right side
    24,178.50x = 792,601,929.41
  5. Step 5: Solve for x
    x = 792,601,929.41/24,178.50
  6. Step 6: Final answer
    x = 32,781.27

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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.