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Finding the Fourth Proportional to 48,424.32, 72,640.65 and 13,363.97

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Solution

The fourth proportional to 48,424.32, 72,640.65 and 13,363.97 is: 20,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,424.32 : 72,640.65 = 13,363.97 : x
  2. Step 2: Convert to fraction form
    48,424.32/72,640.65 = 13,363.97/x
  3. Step 3: Cross multiply
    48,424.32x = 72,640.65 × 13,363.97
  4. Step 4: Simplify right side
    48,424.32x = 970,767,467.38
  5. Step 5: Solve for x
    x = 970,767,467.38/48,424.32
  6. Step 6: Final answer
    x = 20,047.11

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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.