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Finding the Fourth Proportional to 34,176.10, 51,251.86 and 14,456.20

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Solution

The fourth proportional to 34,176.10, 51,251.86 and 14,456.20 is: 21,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,176.10 : 51,251.86 = 14,456.20 : x
  2. Step 2: Convert to fraction form
    34,176.10/51,251.86 = 14,456.20/x
  3. Step 3: Cross multiply
    34,176.10x = 51,251.86 × 14,456.20
  4. Step 4: Simplify right side
    34,176.10x = 740,907,138.53
  5. Step 5: Solve for x
    x = 740,907,138.53/34,176.10
  6. Step 6: Final answer
    x = 21,679.10

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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.