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Finding the Fourth Proportional to 41,204.52, 56,862 and 22,341.24

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Solution

The fourth proportional to 41,204.52, 56,862 and 22,341.24 is: 30,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,204.52 : 56,862 = 22,341.24 : x
  2. Step 2: Convert to fraction form
    41,204.52/56,862 = 22,341.24/x
  3. Step 3: Cross multiply
    41,204.52x = 56,862 × 22,341.24
  4. Step 4: Simplify right side
    41,204.52x = 1,270,367,588.88
  5. Step 5: Solve for x
    x = 1,270,367,588.88/41,204.52
  6. Step 6: Final answer
    x = 30,830.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.