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Finding the Fourth Proportional to 83,001.12, 114,542.14 and 47,189

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Solution

The fourth proportional to 83,001.12, 114,542.14 and 47,189 is: 65,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,001.12 : 114,542.14 = 47,189 : x
  2. Step 2: Convert to fraction form
    83,001.12/114,542.14 = 47,189/x
  3. Step 3: Cross multiply
    83,001.12x = 114,542.14 × 47,189
  4. Step 4: Simplify right side
    83,001.12x = 5,405,129,044.46
  5. Step 5: Solve for x
    x = 5,405,129,044.46/83,001.12
  6. Step 6: Final answer
    x = 65,121.16

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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.