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Finding the Fourth Proportional to 48,243, 72,385.20 and 24,885.84

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Solution

The fourth proportional to 48,243, 72,385.20 and 24,885.84 is: 37,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,243 : 72,385.20 = 24,885.84 : x
  2. Step 2: Convert to fraction form
    48,243/72,385.20 = 24,885.84/x
  3. Step 3: Cross multiply
    48,243x = 72,385.20 × 24,885.84
  4. Step 4: Simplify right side
    48,243x = 1,801,366,505.57
  5. Step 5: Solve for x
    x = 1,801,366,505.57/48,243
  6. Step 6: Final answer
    x = 37,339.44

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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.