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Finding the Fourth Proportional to 82,183.80, 113,416.86 and 48,187.56

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Solution

The fourth proportional to 82,183.80, 113,416.86 and 48,187.56 is: 66,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,183.80 : 113,416.86 = 48,187.56 : x
  2. Step 2: Convert to fraction form
    82,183.80/113,416.86 = 48,187.56/x
  3. Step 3: Cross multiply
    82,183.80x = 113,416.86 × 48,187.56
  4. Step 4: Simplify right side
    82,183.80x = 5,465,281,746.26
  5. Step 5: Solve for x
    x = 5,465,281,746.26/82,183.80
  6. Step 6: Final answer
    x = 66,500.72

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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.