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Finding the Fourth Proportional to 83,584.88, 115,347.24 and 45,859.28

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Solution

The fourth proportional to 83,584.88, 115,347.24 and 45,859.28 is: 63,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,584.88 : 115,347.24 = 45,859.28 : x
  2. Step 2: Convert to fraction form
    83,584.88/115,347.24 = 45,859.28/x
  3. Step 3: Cross multiply
    83,584.88x = 115,347.24 × 45,859.28
  4. Step 4: Simplify right side
    83,584.88x = 5,289,741,376.39
  5. Step 5: Solve for x
    x = 5,289,741,376.39/83,584.88
  6. Step 6: Final answer
    x = 63,285.86

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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.