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Finding the Fourth Proportional to 82,013.60, 113,183.88 and 47,565.32

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Solution

The fourth proportional to 82,013.60, 113,183.88 and 47,565.32 is: 65,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,013.60 : 113,183.88 = 47,565.32 : x
  2. Step 2: Convert to fraction form
    82,013.60/113,183.88 = 47,565.32/x
  3. Step 3: Cross multiply
    82,013.60x = 113,183.88 × 47,565.32
  4. Step 4: Simplify right side
    82,013.60x = 5,383,627,471.04
  5. Step 5: Solve for x
    x = 5,383,627,471.04/82,013.60
  6. Step 6: Final answer
    x = 65,643.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.