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Finding the Fourth Proportional to 83,482.83, 115,211.97 and 47,171.70

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Solution

The fourth proportional to 83,482.83, 115,211.97 and 47,171.70 is: 65,100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,482.83 : 115,211.97 = 47,171.70 : x
  2. Step 2: Convert to fraction form
    83,482.83/115,211.97 = 47,171.70/x
  3. Step 3: Cross multiply
    83,482.83x = 115,211.97 × 47,171.70
  4. Step 4: Simplify right side
    83,482.83x = 5,434,744,485.25
  5. Step 5: Solve for x
    x = 5,434,744,485.25/83,482.83
  6. Step 6: Final answer
    x = 65,100.15

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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.