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Finding the Fourth Proportional to 83,822.40, 125,863.20 and 48,830.40

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Solution

The fourth proportional to 83,822.40, 125,863.20 and 48,830.40 is: 73,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,822.40 : 125,863.20 = 48,830.40 : x
  2. Step 2: Convert to fraction form
    83,822.40/125,863.20 = 48,830.40/x
  3. Step 3: Cross multiply
    83,822.40x = 125,863.20 × 48,830.40
  4. Step 4: Simplify right side
    83,822.40x = 6,145,950,401.28
  5. Step 5: Solve for x
    x = 6,145,950,401.28/83,822.40
  6. Step 6: Final answer
    x = 73,321.10

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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.