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Finding the Fourth Proportional to 82,850.97, 114,349.17 and 48,857.40

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Solution

The fourth proportional to 82,850.97, 114,349.17 and 48,857.40 is: 67,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,850.97 : 114,349.17 = 48,857.40 : x
  2. Step 2: Convert to fraction form
    82,850.97/114,349.17 = 48,857.40/x
  3. Step 3: Cross multiply
    82,850.97x = 114,349.17 × 48,857.40
  4. Step 4: Simplify right side
    82,850.97x = 5,586,803,138.36
  5. Step 5: Solve for x
    x = 5,586,803,138.36/82,850.97
  6. Step 6: Final answer
    x = 67,431.96

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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.