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Finding the Fourth Proportional to 83,063.26, 114,622.05 and 47,251.14

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Solution

The fourth proportional to 83,063.26, 114,622.05 and 47,251.14 is: 65,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,063.26 : 114,622.05 = 47,251.14 : x
  2. Step 2: Convert to fraction form
    83,063.26/114,622.05 = 47,251.14/x
  3. Step 3: Cross multiply
    83,063.26x = 114,622.05 × 47,251.14
  4. Step 4: Simplify right side
    83,063.26x = 5,416,022,531.64
  5. Step 5: Solve for x
    x = 5,416,022,531.64/83,063.26
  6. Step 6: Final answer
    x = 65,203.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.