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Finding the Fourth Proportional to 41,641.38, 57,465.90 and 22,778.90

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Solution

The fourth proportional to 41,641.38, 57,465.90 and 22,778.90 is: 31,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,641.38 : 57,465.90 = 22,778.90 : x
  2. Step 2: Convert to fraction form
    41,641.38/57,465.90 = 22,778.90/x
  3. Step 3: Cross multiply
    41,641.38x = 57,465.90 × 22,778.90
  4. Step 4: Simplify right side
    41,641.38x = 1,309,009,989.51
  5. Step 5: Solve for x
    x = 1,309,009,989.51/41,641.38
  6. Step 6: Final answer
    x = 31,435.32

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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.