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Finding the Fourth Proportional to 82,867.39, 114,356.41 and 45,141.64

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Solution

The fourth proportional to 82,867.39, 114,356.41 and 45,141.64 is: 62,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,867.39 : 114,356.41 = 45,141.64 : x
  2. Step 2: Convert to fraction form
    82,867.39/114,356.41 = 45,141.64/x
  3. Step 3: Cross multiply
    82,867.39x = 114,356.41 × 45,141.64
  4. Step 4: Simplify right side
    82,867.39x = 5,162,235,891.91
  5. Step 5: Solve for x
    x = 5,162,235,891.91/82,867.39
  6. Step 6: Final answer
    x = 62,295.14

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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.