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Finding the Fourth Proportional to 82,524.56, 113,866.35 and 48,520.62

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Solution

The fourth proportional to 82,524.56, 113,866.35 and 48,520.62 is: 66,948.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,524.56 : 113,866.35 = 48,520.62 : x
  2. Step 2: Convert to fraction form
    82,524.56/113,866.35 = 48,520.62/x
  3. Step 3: Cross multiply
    82,524.56x = 113,866.35 × 48,520.62
  4. Step 4: Simplify right side
    82,524.56x = 5,524,865,899.14
  5. Step 5: Solve for x
    x = 5,524,865,899.14/82,524.56
  6. Step 6: Final answer
    x = 66,948.15

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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.