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Finding the Fourth Proportional to 83,780.80, 115,614.57 and 46,054.78

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Solution

The fourth proportional to 83,780.80, 115,614.57 and 46,054.78 is: 63,553.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,780.80 : 115,614.57 = 46,054.78 : x
  2. Step 2: Convert to fraction form
    83,780.80/115,614.57 = 46,054.78/x
  3. Step 3: Cross multiply
    83,780.80x = 115,614.57 × 46,054.78
  4. Step 4: Simplify right side
    83,780.80x = 5,324,603,412.25
  5. Step 5: Solve for x
    x = 5,324,603,412.25/83,780.80
  6. Step 6: Final answer
    x = 63,553.98

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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.