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Finding the Fourth Proportional to 82,523.61, 113,883.17 and 44,797.86

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Solution

The fourth proportional to 82,523.61, 113,883.17 and 44,797.86 is: 61,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,523.61 : 113,883.17 = 44,797.86 : x
  2. Step 2: Convert to fraction form
    82,523.61/113,883.17 = 44,797.86/x
  3. Step 3: Cross multiply
    82,523.61x = 113,883.17 × 44,797.86
  4. Step 4: Simplify right side
    82,523.61x = 5,101,722,082.03
  5. Step 5: Solve for x
    x = 5,101,722,082.03/82,523.61
  6. Step 6: Final answer
    x = 61,821.36

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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.