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Finding the Fourth Proportional to 35,787.98, 49,433.90 and 27,238.16

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Solution

The fourth proportional to 35,787.98, 49,433.90 and 27,238.16 is: 37,624.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,787.98 : 49,433.90 = 27,238.16 : x
  2. Step 2: Convert to fraction form
    35,787.98/49,433.90 = 27,238.16/x
  3. Step 3: Cross multiply
    35,787.98x = 49,433.90 × 27,238.16
  4. Step 4: Simplify right side
    35,787.98x = 1,346,488,094.26
  5. Step 5: Solve for x
    x = 1,346,488,094.26/35,787.98
  6. Step 6: Final answer
    x = 37,624.04

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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.