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Finding the Fourth Proportional to 34,049.74, 51,074.61 and 10,678

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Solution

The fourth proportional to 34,049.74, 51,074.61 and 10,678 is: 16,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,049.74 : 51,074.61 = 10,678 : x
  2. Step 2: Convert to fraction form
    34,049.74/51,074.61 = 10,678/x
  3. Step 3: Cross multiply
    34,049.74x = 51,074.61 × 10,678
  4. Step 4: Simplify right side
    34,049.74x = 545,374,685.58
  5. Step 5: Solve for x
    x = 545,374,685.58/34,049.74
  6. Step 6: Final answer
    x = 16,017.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.