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Finding the Fourth Proportional to 34,065.24, 51,102.99 and 10,693.50

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Solution

The fourth proportional to 34,065.24, 51,102.99 and 10,693.50 is: 16,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,065.24 : 51,102.99 = 10,693.50 : x
  2. Step 2: Convert to fraction form
    34,065.24/51,102.99 = 10,693.50/x
  3. Step 3: Cross multiply
    34,065.24x = 51,102.99 × 10,693.50
  4. Step 4: Simplify right side
    34,065.24x = 546,469,823.57
  5. Step 5: Solve for x
    x = 546,469,823.57/34,065.24
  6. Step 6: Final answer
    x = 16,041.86

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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.