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Finding the Fourth Proportional to 29,765.78, 44,648.38 and 8,989.28

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Solution

The fourth proportional to 29,765.78, 44,648.38 and 8,989.28 is: 13,483.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,765.78 : 44,648.38 = 8,989.28 : x
  2. Step 2: Convert to fraction form
    29,765.78/44,648.38 = 8,989.28/x
  3. Step 3: Cross multiply
    29,765.78x = 44,648.38 × 8,989.28
  4. Step 4: Simplify right side
    29,765.78x = 401,356,789.37
  5. Step 5: Solve for x
    x = 401,356,789.37/29,765.78
  6. Step 6: Final answer
    x = 13,483.83

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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.