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Finding the Fourth Proportional to 82,523.60, 113,882.16 and 44,797.76

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Solution

The fourth proportional to 82,523.60, 113,882.16 and 44,797.76 is: 61,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,523.60 : 113,882.16 = 44,797.76 : x
  2. Step 2: Convert to fraction form
    82,523.60/113,882.16 = 44,797.76/x
  3. Step 3: Cross multiply
    82,523.60x = 113,882.16 × 44,797.76
  4. Step 4: Simplify right side
    82,523.60x = 5,101,665,671.96
  5. Step 5: Solve for x
    x = 5,101,665,671.96/82,523.60
  6. Step 6: Final answer
    x = 61,820.69

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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.