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Finding the Fourth Proportional to 84,223.71, 116,228.89 and 45,983.26

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Solution

The fourth proportional to 84,223.71, 116,228.89 and 45,983.26 is: 63,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,223.71 : 116,228.89 = 45,983.26 : x
  2. Step 2: Convert to fraction form
    84,223.71/116,228.89 = 45,983.26/x
  3. Step 3: Cross multiply
    84,223.71x = 116,228.89 × 45,983.26
  4. Step 4: Simplify right side
    84,223.71x = 5,344,583,268.38
  5. Step 5: Solve for x
    x = 5,344,583,268.38/84,223.71
  6. Step 6: Final answer
    x = 63,456.99

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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.