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Finding the Fourth Proportional to 34,194.90, 51,285.15 and 14,474.10

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Solution

The fourth proportional to 34,194.90, 51,285.15 and 14,474.10 is: 21,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,194.90 : 51,285.15 = 14,474.10 : x
  2. Step 2: Convert to fraction form
    34,194.90/51,285.15 = 14,474.10/x
  3. Step 3: Cross multiply
    34,194.90x = 51,285.15 × 14,474.10
  4. Step 4: Simplify right side
    34,194.90x = 742,306,389.62
  5. Step 5: Solve for x
    x = 742,306,389.62/34,194.90
  6. Step 6: Final answer
    x = 21,708.10

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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.