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Finding the Fourth Proportional to 34,194.72, 51,294.24 and 14,470.68

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Solution

The fourth proportional to 34,194.72, 51,294.24 and 14,470.68 is: 21,706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,194.72 : 51,294.24 = 14,470.68 : x
  2. Step 2: Convert to fraction form
    34,194.72/51,294.24 = 14,470.68/x
  3. Step 3: Cross multiply
    34,194.72x = 51,294.24 × 14,470.68
  4. Step 4: Simplify right side
    34,194.72x = 742,262,532.88
  5. Step 5: Solve for x
    x = 742,262,532.88/34,194.72
  6. Step 6: Final answer
    x = 21,706.93

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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.