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Finding the Fourth Proportional to 29,978.82, 44,857.26 and 24,037.56

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Solution

The fourth proportional to 29,978.82, 44,857.26 and 24,037.56 is: 35,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.82 : 44,857.26 = 24,037.56 : x
  2. Step 2: Convert to fraction form
    29,978.82/44,857.26 = 24,037.56/x
  3. Step 3: Cross multiply
    29,978.82x = 44,857.26 × 24,037.56
  4. Step 4: Simplify right side
    29,978.82x = 1,078,259,078.69
  5. Step 5: Solve for x
    x = 1,078,259,078.69/29,978.82
  6. Step 6: Final answer
    x = 35,967.36

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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.