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Finding the Fourth Proportional to 41,478.38, 57,241.06 and 22,615.64

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Solution

The fourth proportional to 41,478.38, 57,241.06 and 22,615.64 is: 31,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,478.38 : 57,241.06 = 22,615.64 : x
  2. Step 2: Convert to fraction form
    41,478.38/57,241.06 = 22,615.64/x
  3. Step 3: Cross multiply
    41,478.38x = 57,241.06 × 22,615.64
  4. Step 4: Simplify right side
    41,478.38x = 1,294,543,206.18
  5. Step 5: Solve for x
    x = 1,294,543,206.18/41,478.38
  6. Step 6: Final answer
    x = 31,210.07

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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.