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Finding the Fourth Proportional to 34,718.50, 52,080.18 and 13,942

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Solution

The fourth proportional to 34,718.50, 52,080.18 and 13,942 is: 20,913.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,718.50 : 52,080.18 = 13,942 : x
  2. Step 2: Convert to fraction form
    34,718.50/52,080.18 = 13,942/x
  3. Step 3: Cross multiply
    34,718.50x = 52,080.18 × 13,942
  4. Step 4: Simplify right side
    34,718.50x = 726,101,869.56
  5. Step 5: Solve for x
    x = 726,101,869.56/34,718.50
  6. Step 6: Final answer
    x = 20,913.98

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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.