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Finding the Fourth Proportional to 41,402, 57,134.34 and 22,538.72

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Solution

The fourth proportional to 41,402, 57,134.34 and 22,538.72 is: 31,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,402 : 57,134.34 = 22,538.72 : x
  2. Step 2: Convert to fraction form
    41,402/57,134.34 = 22,538.72/x
  3. Step 3: Cross multiply
    41,402x = 57,134.34 × 22,538.72
  4. Step 4: Simplify right side
    41,402x = 1,287,734,891.64
  5. Step 5: Solve for x
    x = 1,287,734,891.64/41,402
  6. Step 6: Final answer
    x = 31,103.20

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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.