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Finding the Fourth Proportional to 83,459.10, 125,200.80 and 27,285.60

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Solution

The fourth proportional to 83,459.10, 125,200.80 and 27,285.60 is: 40,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,459.10 : 125,200.80 = 27,285.60 : x
  2. Step 2: Convert to fraction form
    83,459.10/125,200.80 = 27,285.60/x
  3. Step 3: Cross multiply
    83,459.10x = 125,200.80 × 27,285.60
  4. Step 4: Simplify right side
    83,459.10x = 3,416,178,948.48
  5. Step 5: Solve for x
    x = 3,416,178,948.48/83,459.10
  6. Step 6: Final answer
    x = 40,932.37

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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.