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Finding the Fourth Proportional to 29,800.50, 44,632.71 and 14,229.06

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Solution

The fourth proportional to 29,800.50, 44,632.71 and 14,229.06 is: 21,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,800.50 : 44,632.71 = 14,229.06 : x
  2. Step 2: Convert to fraction form
    29,800.50/44,632.71 = 14,229.06/x
  3. Step 3: Cross multiply
    29,800.50x = 44,632.71 × 14,229.06
  4. Step 4: Simplify right side
    29,800.50x = 635,081,508.55
  5. Step 5: Solve for x
    x = 635,081,508.55/29,800.50
  6. Step 6: Final answer
    x = 21,311.10

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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.