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Finding the Fourth Proportional to 34,677.54, 47,854.88 and 18,762

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Solution

The fourth proportional to 34,677.54, 47,854.88 and 18,762 is: 25,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,677.54 : 47,854.88 = 18,762 : x
  2. Step 2: Convert to fraction form
    34,677.54/47,854.88 = 18,762/x
  3. Step 3: Cross multiply
    34,677.54x = 47,854.88 × 18,762
  4. Step 4: Simplify right side
    34,677.54x = 897,853,258.56
  5. Step 5: Solve for x
    x = 897,853,258.56/34,677.54
  6. Step 6: Final answer
    x = 25,891.49

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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.