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Finding the Fourth Proportional to 83,891.86, 125,881.51 and 34,008.82

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Solution

The fourth proportional to 83,891.86, 125,881.51 and 34,008.82 is: 51,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,891.86 : 125,881.51 = 34,008.82 : x
  2. Step 2: Convert to fraction form
    83,891.86/125,881.51 = 34,008.82/x
  3. Step 3: Cross multiply
    83,891.86x = 125,881.51 × 34,008.82
  4. Step 4: Simplify right side
    83,891.86x = 4,281,081,614.92
  5. Step 5: Solve for x
    x = 4,281,081,614.92/83,891.86
  6. Step 6: Final answer
    x = 51,030.95

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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.