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Finding the Fourth Proportional to 45,706.59, 63,085.31 and 27,797.84

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Solution

The fourth proportional to 45,706.59, 63,085.31 and 27,797.84 is: 38,367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,706.59 : 63,085.31 = 27,797.84 : x
  2. Step 2: Convert to fraction form
    45,706.59/63,085.31 = 27,797.84/x
  3. Step 3: Cross multiply
    45,706.59x = 63,085.31 × 27,797.84
  4. Step 4: Simplify right side
    45,706.59x = 1,753,635,353.73
  5. Step 5: Solve for x
    x = 1,753,635,353.73/45,706.59
  6. Step 6: Final answer
    x = 38,367.23

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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.