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Finding the Fourth Proportional to 41,641.54, 57,465.76 and 22,778.26

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Solution

The fourth proportional to 41,641.54, 57,465.76 and 22,778.26 is: 31,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,641.54 : 57,465.76 = 22,778.26 : x
  2. Step 2: Convert to fraction form
    41,641.54/57,465.76 = 22,778.26/x
  3. Step 3: Cross multiply
    41,641.54x = 57,465.76 × 22,778.26
  4. Step 4: Simplify right side
    41,641.54x = 1,308,970,022.38
  5. Step 5: Solve for x
    x = 1,308,970,022.38/41,641.54
  6. Step 6: Final answer
    x = 31,434.24

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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.