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Finding the Fourth Proportional to 83,188.97, 114,800.79 and 47,382.31

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Solution

The fourth proportional to 83,188.97, 114,800.79 and 47,382.31 is: 65,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,188.97 : 114,800.79 = 47,382.31 : x
  2. Step 2: Convert to fraction form
    83,188.97/114,800.79 = 47,382.31/x
  3. Step 3: Cross multiply
    83,188.97x = 114,800.79 × 47,382.31
  4. Step 4: Simplify right side
    83,188.97x = 5,439,526,620.02
  5. Step 5: Solve for x
    x = 5,439,526,620.02/83,188.97
  6. Step 6: Final answer
    x = 65,387.59

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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.