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Finding the Fourth Proportional to 71,718.44, 107,578.20 and 24,971.24

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Solution

The fourth proportional to 71,718.44, 107,578.20 and 24,971.24 is: 37,457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,718.44 : 107,578.20 = 24,971.24 : x
  2. Step 2: Convert to fraction form
    71,718.44/107,578.20 = 24,971.24/x
  3. Step 3: Cross multiply
    71,718.44x = 107,578.20 × 24,971.24
  4. Step 4: Simplify right side
    71,718.44x = 2,686,361,050.97
  5. Step 5: Solve for x
    x = 2,686,361,050.97/71,718.44
  6. Step 6: Final answer
    x = 37,457.05

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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.