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Finding the Fourth Proportional to 83,279.07, 114,922.24 and 47,480.61

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Solution

The fourth proportional to 83,279.07, 114,922.24 and 47,480.61 is: 65,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,279.07 : 114,922.24 = 47,480.61 : x
  2. Step 2: Convert to fraction form
    83,279.07/114,922.24 = 47,480.61/x
  3. Step 3: Cross multiply
    83,279.07x = 114,922.24 × 47,480.61
  4. Step 4: Simplify right side
    83,279.07x = 5,456,578,057.77
  5. Step 5: Solve for x
    x = 5,456,578,057.77/83,279.07
  6. Step 6: Final answer
    x = 65,521.60

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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.