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Finding the Fourth Proportional to 48,408.80, 72,616.82 and 13,348.13

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Solution

The fourth proportional to 48,408.80, 72,616.82 and 13,348.13 is: 20,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,408.80 : 72,616.82 = 13,348.13 : x
  2. Step 2: Convert to fraction form
    48,408.80/72,616.82 = 13,348.13/x
  3. Step 3: Cross multiply
    48,408.80x = 72,616.82 × 13,348.13
  4. Step 4: Simplify right side
    48,408.80x = 969,298,323.72
  5. Step 5: Solve for x
    x = 969,298,323.72/48,408.80
  6. Step 6: Final answer
    x = 20,023.19

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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.