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Finding the Fourth Proportional to 83,200.30, 124,800.45 and 36,544.30

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Solution

The fourth proportional to 83,200.30, 124,800.45 and 36,544.30 is: 54,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,200.30 : 124,800.45 = 36,544.30 : x
  2. Step 2: Convert to fraction form
    83,200.30/124,800.45 = 36,544.30/x
  3. Step 3: Cross multiply
    83,200.30x = 124,800.45 × 36,544.30
  4. Step 4: Simplify right side
    83,200.30x = 4,560,745,084.94
  5. Step 5: Solve for x
    x = 4,560,745,084.94/83,200.30
  6. Step 6: Final answer
    x = 54,816.45

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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.