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Finding the Fourth Proportional to 29,447.43, 44,164.80 and 9,721.32

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Solution

The fourth proportional to 29,447.43, 44,164.80 and 9,721.32 is: 14,579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,447.43 : 44,164.80 = 9,721.32 : x
  2. Step 2: Convert to fraction form
    29,447.43/44,164.80 = 9,721.32/x
  3. Step 3: Cross multiply
    29,447.43x = 44,164.80 × 9,721.32
  4. Step 4: Simplify right side
    29,447.43x = 429,340,153.54
  5. Step 5: Solve for x
    x = 429,340,153.54/29,447.43
  6. Step 6: Final answer
    x = 14,579.89

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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.