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Finding the Fourth Proportional to 83,726.80, 115,537.72 and 77,039.44

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Solution

The fourth proportional to 83,726.80, 115,537.72 and 77,039.44 is: 106,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,726.80 : 115,537.72 = 77,039.44 : x
  2. Step 2: Convert to fraction form
    83,726.80/115,537.72 = 77,039.44/x
  3. Step 3: Cross multiply
    83,726.80x = 115,537.72 × 77,039.44
  4. Step 4: Simplify right side
    83,726.80x = 8,900,961,247.68
  5. Step 5: Solve for x
    x = 8,900,961,247.68/83,726.80
  6. Step 6: Final answer
    x = 106,309.58

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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.