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Finding the Fourth Proportional to 41,145.76, 56,781.12 and 22,282.90

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Solution

The fourth proportional to 41,145.76, 56,781.12 and 22,282.90 is: 30,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,145.76 : 56,781.12 = 22,282.90 : x
  2. Step 2: Convert to fraction form
    41,145.76/56,781.12 = 22,282.90/x
  3. Step 3: Cross multiply
    41,145.76x = 56,781.12 × 22,282.90
  4. Step 4: Simplify right side
    41,145.76x = 1,265,248,018.85
  5. Step 5: Solve for x
    x = 1,265,248,018.85/41,145.76
  6. Step 6: Final answer
    x = 30,750.39

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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.