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Finding the Fourth Proportional to 34,490.39, 51,724.64 and 14,763.65

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Solution

The fourth proportional to 34,490.39, 51,724.64 and 14,763.65 is: 22,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,490.39 : 51,724.64 = 14,763.65 : x
  2. Step 2: Convert to fraction form
    34,490.39/51,724.64 = 14,763.65/x
  3. Step 3: Cross multiply
    34,490.39x = 51,724.64 × 14,763.65
  4. Step 4: Simplify right side
    34,490.39x = 763,644,259.62
  5. Step 5: Solve for x
    x = 763,644,259.62/34,490.39
  6. Step 6: Final answer
    x = 22,140.79

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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.