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Finding the Fourth Proportional to 29,881.20, 44,821.80 and 17,415.30

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Solution

The fourth proportional to 29,881.20, 44,821.80 and 17,415.30 is: 26,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,881.20 : 44,821.80 = 17,415.30 : x
  2. Step 2: Convert to fraction form
    29,881.20/44,821.80 = 17,415.30/x
  3. Step 3: Cross multiply
    29,881.20x = 44,821.80 × 17,415.30
  4. Step 4: Simplify right side
    29,881.20x = 780,585,093.54
  5. Step 5: Solve for x
    x = 780,585,093.54/29,881.20
  6. Step 6: Final answer
    x = 26,122.95

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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.