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Finding the Fourth Proportional to 83,280.34, 114,923.97 and 47,481.88

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Solution

The fourth proportional to 83,280.34, 114,923.97 and 47,481.88 is: 65,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,280.34 : 114,923.97 = 47,481.88 : x
  2. Step 2: Convert to fraction form
    83,280.34/114,923.97 = 47,481.88/x
  3. Step 3: Cross multiply
    83,280.34x = 114,923.97 × 47,481.88
  4. Step 4: Simplify right side
    83,280.34x = 5,456,806,152.66
  5. Step 5: Solve for x
    x = 5,456,806,152.66/83,280.34
  6. Step 6: Final answer
    x = 65,523.34

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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.