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Finding the Fourth Proportional to 83,275.54, 124,857.83 and 45,853.24

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Solution

The fourth proportional to 83,275.54, 124,857.83 and 45,853.24 is: 68,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,275.54 : 124,857.83 = 45,853.24 : x
  2. Step 2: Convert to fraction form
    83,275.54/124,857.83 = 45,853.24/x
  3. Step 3: Cross multiply
    83,275.54x = 124,857.83 × 45,853.24
  4. Step 4: Simplify right side
    83,275.54x = 5,725,135,952.50
  5. Step 5: Solve for x
    x = 5,725,135,952.50/83,275.54
  6. Step 6: Final answer
    x = 68,749.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.