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Finding the Fourth Proportional to 83,221.92, 124,832.88 and 36,465.12

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Solution

The fourth proportional to 83,221.92, 124,832.88 and 36,465.12 is: 54,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,221.92 : 124,832.88 = 36,465.12 : x
  2. Step 2: Convert to fraction form
    83,221.92/124,832.88 = 36,465.12/x
  3. Step 3: Cross multiply
    83,221.92x = 124,832.88 × 36,465.12
  4. Step 4: Simplify right side
    83,221.92x = 4,552,045,949.15
  5. Step 5: Solve for x
    x = 4,552,045,949.15/83,221.92
  6. Step 6: Final answer
    x = 54,697.68

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1.5x scale

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.