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Finding the Fourth Proportional to 83,332.69, 125,012.02 and 27,159.76

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Solution

The fourth proportional to 83,332.69, 125,012.02 and 27,159.76 is: 40,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,332.69 : 125,012.02 = 27,159.76 : x
  2. Step 2: Convert to fraction form
    83,332.69/125,012.02 = 27,159.76/x
  3. Step 3: Cross multiply
    83,332.69x = 125,012.02 × 27,159.76
  4. Step 4: Simplify right side
    83,332.69x = 3,395,296,548.68
  5. Step 5: Solve for x
    x = 3,395,296,548.68/83,332.69
  6. Step 6: Final answer
    x = 40,743.87

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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.