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Finding the Fourth Proportional to 34,264.16, 51,361.23 and 19,441.77

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Solution

The fourth proportional to 34,264.16, 51,361.23 and 19,441.77 is: 29,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,264.16 : 51,361.23 = 19,441.77 : x
  2. Step 2: Convert to fraction form
    34,264.16/51,361.23 = 19,441.77/x
  3. Step 3: Cross multiply
    34,264.16x = 51,361.23 × 19,441.77
  4. Step 4: Simplify right side
    34,264.16x = 998,552,963.77
  5. Step 5: Solve for x
    x = 998,552,963.77/34,264.16
  6. Step 6: Final answer
    x = 29,142.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.