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Finding the Fourth Proportional to 29,982, 44,950.08 and 18,133.20

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Solution

The fourth proportional to 29,982, 44,950.08 and 18,133.20 is: 27,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982 : 44,950.08 = 18,133.20 : x
  2. Step 2: Convert to fraction form
    29,982/44,950.08 = 18,133.20/x
  3. Step 3: Cross multiply
    29,982x = 44,950.08 × 18,133.20
  4. Step 4: Simplify right side
    29,982x = 815,088,790.66
  5. Step 5: Solve for x
    x = 815,088,790.66/29,982
  6. Step 6: Final answer
    x = 27,185.94

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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.