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Finding the Fourth Proportional to 29,383.89, 44,077.25 and 9,662.01

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Solution

The fourth proportional to 29,383.89, 44,077.25 and 9,662.01 is: 14,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,383.89 : 44,077.25 = 9,662.01 : x
  2. Step 2: Convert to fraction form
    29,383.89/44,077.25 = 9,662.01/x
  3. Step 3: Cross multiply
    29,383.89x = 44,077.25 × 9,662.01
  4. Step 4: Simplify right side
    29,383.89x = 425,874,830.27
  5. Step 5: Solve for x
    x = 425,874,830.27/29,383.89
  6. Step 6: Final answer
    x = 14,493.48

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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.