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Finding the Fourth Proportional to 83,238.64, 114,869.16 and 44,998.21

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Solution

The fourth proportional to 83,238.64, 114,869.16 and 44,998.21 is: 62,097.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,238.64 : 114,869.16 = 44,998.21 : x
  2. Step 2: Convert to fraction form
    83,238.64/114,869.16 = 44,998.21/x
  3. Step 3: Cross multiply
    83,238.64x = 114,869.16 × 44,998.21
  4. Step 4: Simplify right side
    83,238.64x = 5,168,906,584.20
  5. Step 5: Solve for x
    x = 5,168,906,584.20/83,238.64
  6. Step 6: Final answer
    x = 62,097.44

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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.