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Finding the Fourth Proportional to 75,843.40, 113,765.10 and 52,223.80

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Solution

The fourth proportional to 75,843.40, 113,765.10 and 52,223.80 is: 78,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,843.40 : 113,765.10 = 52,223.80 : x
  2. Step 2: Convert to fraction form
    75,843.40/113,765.10 = 52,223.80/x
  3. Step 3: Cross multiply
    75,843.40x = 113,765.10 × 52,223.80
  4. Step 4: Simplify right side
    75,843.40x = 5,941,245,829.38
  5. Step 5: Solve for x
    x = 5,941,245,829.38/75,843.40
  6. Step 6: Final answer
    x = 78,335.70

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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.