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Finding the Fourth Proportional to 34,074.84, 51,094.98 and 15,591

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Solution

The fourth proportional to 34,074.84, 51,094.98 and 15,591 is: 23,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,074.84 : 51,094.98 = 15,591 : x
  2. Step 2: Convert to fraction form
    34,074.84/51,094.98 = 15,591/x
  3. Step 3: Cross multiply
    34,074.84x = 51,094.98 × 15,591
  4. Step 4: Simplify right side
    34,074.84x = 796,621,833.18
  5. Step 5: Solve for x
    x = 796,621,833.18/34,074.84
  6. Step 6: Final answer
    x = 23,378.59

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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.