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Finding the Fourth Proportional to 83,239.92, 114,871.47 and 45,514.14

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Solution

The fourth proportional to 83,239.92, 114,871.47 and 45,514.14 is: 62,809.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,239.92 : 114,871.47 = 45,514.14 : x
  2. Step 2: Convert to fraction form
    83,239.92/114,871.47 = 45,514.14/x
  3. Step 3: Cross multiply
    83,239.92x = 114,871.47 × 45,514.14
  4. Step 4: Simplify right side
    83,239.92x = 5,228,276,167.59
  5. Step 5: Solve for x
    x = 5,228,276,167.59/83,239.92
  6. Step 6: Final answer
    x = 62,809.72

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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.