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Finding the Fourth Proportional to 35,787.31, 49,409.25 and 24,475.66

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Solution

The fourth proportional to 35,787.31, 49,409.25 and 24,475.66 is: 33,791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,787.31 : 49,409.25 = 24,475.66 : x
  2. Step 2: Convert to fraction form
    35,787.31/49,409.25 = 24,475.66/x
  3. Step 3: Cross multiply
    35,787.31x = 49,409.25 × 24,475.66
  4. Step 4: Simplify right side
    35,787.31x = 1,209,324,003.86
  5. Step 5: Solve for x
    x = 1,209,324,003.86/35,787.31
  6. Step 6: Final answer
    x = 33,791.98

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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.