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Finding the Fourth Proportional to 41,642, 62,425.92 and 15,340.40

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Solution

The fourth proportional to 41,642, 62,425.92 and 15,340.40 is: 22,996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,642 : 62,425.92 = 15,340.40 : x
  2. Step 2: Convert to fraction form
    41,642/62,425.92 = 15,340.40/x
  3. Step 3: Cross multiply
    41,642x = 62,425.92 × 15,340.40
  4. Step 4: Simplify right side
    41,642x = 957,638,583.17
  5. Step 5: Solve for x
    x = 957,638,583.17/41,642
  6. Step 6: Final answer
    x = 22,996.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.