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Finding the Fourth Proportional to 83,574.82, 125,274.15 and 27,400.27

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Solution

The fourth proportional to 83,574.82, 125,274.15 and 27,400.27 is: 41,071.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,574.82 : 125,274.15 = 27,400.27 : x
  2. Step 2: Convert to fraction form
    83,574.82/125,274.15 = 27,400.27/x
  3. Step 3: Cross multiply
    83,574.82x = 125,274.15 × 27,400.27
  4. Step 4: Simplify right side
    83,574.82x = 3,432,545,534.02
  5. Step 5: Solve for x
    x = 3,432,545,534.02/83,574.82
  6. Step 6: Final answer
    x = 41,071.53

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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.