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Finding the Fourth Proportional to 34,170.50, 51,217.41 and 25,823.45

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Solution

The fourth proportional to 34,170.50, 51,217.41 and 25,823.45 is: 38,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,170.50 : 51,217.41 = 25,823.45 : x
  2. Step 2: Convert to fraction form
    34,170.50/51,217.41 = 25,823.45/x
  3. Step 3: Cross multiply
    34,170.50x = 51,217.41 × 25,823.45
  4. Step 4: Simplify right side
    34,170.50x = 1,322,610,226.26
  5. Step 5: Solve for x
    x = 1,322,610,226.26/34,170.50
  6. Step 6: Final answer
    x = 38,706.20

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