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Finding the Fourth Proportional to 29,470.52, 44,213.16 and 13,884.50

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Solution

The fourth proportional to 29,470.52, 44,213.16 and 13,884.50 is: 20,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,470.52 : 44,213.16 = 13,884.50 : x
  2. Step 2: Convert to fraction form
    29,470.52/44,213.16 = 13,884.50/x
  3. Step 3: Cross multiply
    29,470.52x = 44,213.16 × 13,884.50
  4. Step 4: Simplify right side
    29,470.52x = 613,877,620.02
  5. Step 5: Solve for x
    x = 613,877,620.02/29,470.52
  6. Step 6: Final answer
    x = 20,830.23

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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.