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Finding the Fourth Proportional to 75,611.72, 113,422.80 and 25,671.44

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Solution

The fourth proportional to 75,611.72, 113,422.80 and 25,671.44 is: 38,508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,611.72 : 113,422.80 = 25,671.44 : x
  2. Step 2: Convert to fraction form
    75,611.72/113,422.80 = 25,671.44/x
  3. Step 3: Cross multiply
    75,611.72x = 113,422.80 × 25,671.44
  4. Step 4: Simplify right side
    75,611.72x = 2,911,726,604.83
  5. Step 5: Solve for x
    x = 2,911,726,604.83/75,611.72
  6. Step 6: Final answer
    x = 38,508.93

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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.