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Finding the Fourth Proportional to 27,251.84, 40,870.47 and 7,531.48

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Solution

The fourth proportional to 27,251.84, 40,870.47 and 7,531.48 is: 11,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,251.84 : 40,870.47 = 7,531.48 : x
  2. Step 2: Convert to fraction form
    27,251.84/40,870.47 = 7,531.48/x
  3. Step 3: Cross multiply
    27,251.84x = 40,870.47 × 7,531.48
  4. Step 4: Simplify right side
    27,251.84x = 307,815,206.73
  5. Step 5: Solve for x
    x = 307,815,206.73/27,251.84
  6. Step 6: Final answer
    x = 11,295.21

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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.