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Finding the Fourth Proportional to 29,765.21, 41,076.02 and 17,835.47

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Solution

The fourth proportional to 29,765.21, 41,076.02 and 17,835.47 is: 24,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,765.21 : 41,076.02 = 17,835.47 : x
  2. Step 2: Convert to fraction form
    29,765.21/41,076.02 = 17,835.47/x
  3. Step 3: Cross multiply
    29,765.21x = 41,076.02 × 17,835.47
  4. Step 4: Simplify right side
    29,765.21x = 732,610,122.43
  5. Step 5: Solve for x
    x = 732,610,122.43/29,765.21
  6. Step 6: Final answer
    x = 24,612.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.