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Finding the Fourth Proportional to 48,240, 72,380.70 and 24,882.84

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Solution

The fourth proportional to 48,240, 72,380.70 and 24,882.84 is: 37,334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,240 : 72,380.70 = 24,882.84 : x
  2. Step 2: Convert to fraction form
    48,240/72,380.70 = 24,882.84/x
  3. Step 3: Cross multiply
    48,240x = 72,380.70 × 24,882.84
  4. Step 4: Simplify right side
    48,240x = 1,801,037,377.19
  5. Step 5: Solve for x
    x = 1,801,037,377.19/48,240
  6. Step 6: Final answer
    x = 37,334.94

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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.