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Finding the Fourth Proportional to 82,319.16, 113,601 and 44,593.44

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Solution

The fourth proportional to 82,319.16, 113,601 and 44,593.44 is: 61,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,319.16 : 113,601 = 44,593.44 : x
  2. Step 2: Convert to fraction form
    82,319.16/113,601 = 44,593.44/x
  3. Step 3: Cross multiply
    82,319.16x = 113,601 × 44,593.44
  4. Step 4: Simplify right side
    82,319.16x = 5,065,859,377.44
  5. Step 5: Solve for x
    x = 5,065,859,377.44/82,319.16
  6. Step 6: Final answer
    x = 61,539.25

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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.