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Finding the Fourth Proportional to 29,695.72, 44,542.02 and 9,974.68

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Solution

The fourth proportional to 29,695.72, 44,542.02 and 9,974.68 is: 14,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,695.72 : 44,542.02 = 9,974.68 : x
  2. Step 2: Convert to fraction form
    29,695.72/44,542.02 = 9,974.68/x
  3. Step 3: Cross multiply
    29,695.72x = 44,542.02 × 9,974.68
  4. Step 4: Simplify right side
    29,695.72x = 444,292,396.05
  5. Step 5: Solve for x
    x = 444,292,396.05/29,695.72
  6. Step 6: Final answer
    x = 14,961.50

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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.