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Finding the Fourth Proportional to 83,531.61, 115,255.44 and 49,523.22

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Solution

The fourth proportional to 83,531.61, 115,255.44 and 49,523.22 is: 68,331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,531.61 : 115,255.44 = 49,523.22 : x
  2. Step 2: Convert to fraction form
    83,531.61/115,255.44 = 49,523.22/x
  3. Step 3: Cross multiply
    83,531.61x = 115,255.44 × 49,523.22
  4. Step 4: Simplify right side
    83,531.61x = 5,707,820,511.32
  5. Step 5: Solve for x
    x = 5,707,820,511.32/83,531.61
  6. Step 6: Final answer
    x = 68,331.26

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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.