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Finding the Fourth Proportional to 75,101.82, 112,671.15 and 22,511.25

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Solution

The fourth proportional to 75,101.82, 112,671.15 and 22,511.25 is: 33,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,101.82 : 112,671.15 = 22,511.25 : x
  2. Step 2: Convert to fraction form
    75,101.82/112,671.15 = 22,511.25/x
  3. Step 3: Cross multiply
    75,101.82x = 112,671.15 × 22,511.25
  4. Step 4: Simplify right side
    75,101.82x = 2,536,368,467.65
  5. Step 5: Solve for x
    x = 2,536,368,467.65/75,101.82
  6. Step 6: Final answer
    x = 33,772.40

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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.