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Finding the Fourth Proportional to 34,074.69, 51,120.12 and 10,701.13

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Solution

The fourth proportional to 34,074.69, 51,120.12 and 10,701.13 is: 16,054.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,074.69 : 51,120.12 = 10,701.13 : x
  2. Step 2: Convert to fraction form
    34,074.69/51,120.12 = 10,701.13/x
  3. Step 3: Cross multiply
    34,074.69x = 51,120.12 × 10,701.13
  4. Step 4: Simplify right side
    34,074.69x = 547,043,049.74
  5. Step 5: Solve for x
    x = 547,043,049.74/34,074.69
  6. Step 6: Final answer
    x = 16,054.23

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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.