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Finding the Fourth Proportional to 41,476.32, 57,237.12 and 22,613.40

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Solution

The fourth proportional to 41,476.32, 57,237.12 and 22,613.40 is: 31,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,476.32 : 57,237.12 = 22,613.40 : x
  2. Step 2: Convert to fraction form
    41,476.32/57,237.12 = 22,613.40/x
  3. Step 3: Cross multiply
    41,476.32x = 57,237.12 × 22,613.40
  4. Step 4: Simplify right side
    41,476.32x = 1,294,325,889.41
  5. Step 5: Solve for x
    x = 1,294,325,889.41/41,476.32
  6. Step 6: Final answer
    x = 31,206.38

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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.