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Finding the Fourth Proportional to 29,787.75, 41,114.52 and 17,219.79

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Solution

The fourth proportional to 29,787.75, 41,114.52 and 17,219.79 is: 23,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,787.75 : 41,114.52 = 17,219.79 : x
  2. Step 2: Convert to fraction form
    29,787.75/41,114.52 = 17,219.79/x
  3. Step 3: Cross multiply
    29,787.75x = 41,114.52 × 17,219.79
  4. Step 4: Simplify right side
    29,787.75x = 707,983,400.35
  5. Step 5: Solve for x
    x = 707,983,400.35/29,787.75
  6. Step 6: Final answer
    x = 23,767.60

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