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Finding the Fourth Proportional to 85,853.70, 128,780.55 and 23,524.20

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Solution

The fourth proportional to 85,853.70, 128,780.55 and 23,524.20 is: 35,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,853.70 : 128,780.55 = 23,524.20 : x
  2. Step 2: Convert to fraction form
    85,853.70/128,780.55 = 23,524.20/x
  3. Step 3: Cross multiply
    85,853.70x = 128,780.55 × 23,524.20
  4. Step 4: Simplify right side
    85,853.70x = 3,029,459,414.31
  5. Step 5: Solve for x
    x = 3,029,459,414.31/85,853.70
  6. Step 6: Final answer
    x = 35,286.30

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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.