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Finding the Fourth Proportional to 34,184.30, 51,281.87 and 14,463

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Solution

The fourth proportional to 34,184.30, 51,281.87 and 14,463 is: 21,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,184.30 : 51,281.87 = 14,463 : x
  2. Step 2: Convert to fraction form
    34,184.30/51,281.87 = 14,463/x
  3. Step 3: Cross multiply
    34,184.30x = 51,281.87 × 14,463
  4. Step 4: Simplify right side
    34,184.30x = 741,689,613.50
  5. Step 5: Solve for x
    x = 741,689,613.50/34,184.30
  6. Step 6: Final answer
    x = 21,696.79

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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.