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Finding the Fourth Proportional to 41,536, 57,319.16 and 23,630.96

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Solution

The fourth proportional to 41,536, 57,319.16 and 23,630.96 is: 32,610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,536 : 57,319.16 = 23,630.96 : x
  2. Step 2: Convert to fraction form
    41,536/57,319.16 = 23,630.96/x
  3. Step 3: Cross multiply
    41,536x = 57,319.16 × 23,630.96
  4. Step 4: Simplify right side
    41,536x = 1,354,506,777.19
  5. Step 5: Solve for x
    x = 1,354,506,777.19/41,536
  6. Step 6: Final answer
    x = 32,610.43

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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.