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Finding the Fourth Proportional to 41,718, 57,570.84 and 24,951

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Solution

The fourth proportional to 41,718, 57,570.84 and 24,951 is: 34,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,718 : 57,570.84 = 24,951 : x
  2. Step 2: Convert to fraction form
    41,718/57,570.84 = 24,951/x
  3. Step 3: Cross multiply
    41,718x = 57,570.84 × 24,951
  4. Step 4: Simplify right side
    41,718x = 1,436,450,028.84
  5. Step 5: Solve for x
    x = 1,436,450,028.84/41,718
  6. Step 6: Final answer
    x = 34,432.38

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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.