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Finding the Fourth Proportional to 51,822.87, 71,515.86 and 29,162.24

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Solution

The fourth proportional to 51,822.87, 71,515.86 and 29,162.24 is: 40,244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,822.87 : 71,515.86 = 29,162.24 : x
  2. Step 2: Convert to fraction form
    51,822.87/71,515.86 = 29,162.24/x
  3. Step 3: Cross multiply
    51,822.87x = 71,515.86 × 29,162.24
  4. Step 4: Simplify right side
    51,822.87x = 2,085,562,673.13
  5. Step 5: Solve for x
    x = 2,085,562,673.13/51,822.87
  6. Step 6: Final answer
    x = 40,244.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.