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Finding the Fourth Proportional to 83,105.60, 124,701.60 and 36,363.20

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Solution

The fourth proportional to 83,105.60, 124,701.60 and 36,363.20 is: 54,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,105.60 : 124,701.60 = 36,363.20 : x
  2. Step 2: Convert to fraction form
    83,105.60/124,701.60 = 36,363.20/x
  3. Step 3: Cross multiply
    83,105.60x = 124,701.60 × 36,363.20
  4. Step 4: Simplify right side
    83,105.60x = 4,534,549,221.12
  5. Step 5: Solve for x
    x = 4,534,549,221.12/83,105.60
  6. Step 6: Final answer
    x = 54,563.70

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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.