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Finding the Fourth Proportional to 38,056.49, 52,531.88 and 22,949.78

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Solution

The fourth proportional to 38,056.49, 52,531.88 and 22,949.78 is: 31,679.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,056.49 : 52,531.88 = 22,949.78 : x
  2. Step 2: Convert to fraction form
    38,056.49/52,531.88 = 22,949.78/x
  3. Step 3: Cross multiply
    38,056.49x = 52,531.88 × 22,949.78
  4. Step 4: Simplify right side
    38,056.49x = 1,205,594,711.58
  5. Step 5: Solve for x
    x = 1,205,594,711.58/38,056.49
  6. Step 6: Final answer
    x = 31,679.09

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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.