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Finding the Fourth Proportional to 41,405.76, 57,140.08 and 22,543

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Solution

The fourth proportional to 41,405.76, 57,140.08 and 22,543 is: 31,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,405.76 : 57,140.08 = 22,543 : x
  2. Step 2: Convert to fraction form
    41,405.76/57,140.08 = 22,543/x
  3. Step 3: Cross multiply
    41,405.76x = 57,140.08 × 22,543
  4. Step 4: Simplify right side
    41,405.76x = 1,288,108,823.44
  5. Step 5: Solve for x
    x = 1,288,108,823.44/41,405.76
  6. Step 6: Final answer
    x = 31,109.41

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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.