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Finding the Fourth Proportional to 34,074.35, 51,119.75 and 10,700.78

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Solution

The fourth proportional to 34,074.35, 51,119.75 and 10,700.78 is: 16,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,074.35 : 51,119.75 = 10,700.78 : x
  2. Step 2: Convert to fraction form
    34,074.35/51,119.75 = 10,700.78/x
  3. Step 3: Cross multiply
    34,074.35x = 51,119.75 × 10,700.78
  4. Step 4: Simplify right side
    34,074.35x = 547,021,352.96
  5. Step 5: Solve for x
    x = 547,021,352.96/34,074.35
  6. Step 6: Final answer
    x = 16,053.76

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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.