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Finding the Fourth Proportional to 82,856.62, 114,308.04 and 57,720.70

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Solution

The fourth proportional to 82,856.62, 114,308.04 and 57,720.70 is: 79,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,856.62 : 114,308.04 = 57,720.70 : x
  2. Step 2: Convert to fraction form
    82,856.62/114,308.04 = 57,720.70/x
  3. Step 3: Cross multiply
    82,856.62x = 114,308.04 × 57,720.70
  4. Step 4: Simplify right side
    82,856.62x = 6,597,940,084.43
  5. Step 5: Solve for x
    x = 6,597,940,084.43/82,856.62
  6. Step 6: Final answer
    x = 79,630.81

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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.