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Finding the Fourth Proportional to 29,202.93, 43,799.61 and 8,144.40

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Solution

The fourth proportional to 29,202.93, 43,799.61 and 8,144.40 is: 12,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,202.93 : 43,799.61 = 8,144.40 : x
  2. Step 2: Convert to fraction form
    29,202.93/43,799.61 = 8,144.40/x
  3. Step 3: Cross multiply
    29,202.93x = 43,799.61 × 8,144.40
  4. Step 4: Simplify right side
    29,202.93x = 356,721,677.39
  5. Step 5: Solve for x
    x = 356,721,677.39/29,202.93
  6. Step 6: Final answer
    x = 12,215.27

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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.