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Finding the Fourth Proportional to 34,356.25, 47,411.73 and 20,024.56

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Solution

The fourth proportional to 34,356.25, 47,411.73 and 20,024.56 is: 27,633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,356.25 : 47,411.73 = 20,024.56 : x
  2. Step 2: Convert to fraction form
    34,356.25/47,411.73 = 20,024.56/x
  3. Step 3: Cross multiply
    34,356.25x = 47,411.73 × 20,024.56
  4. Step 4: Simplify right side
    34,356.25x = 949,399,032.09
  5. Step 5: Solve for x
    x = 949,399,032.09/34,356.25
  6. Step 6: Final answer
    x = 27,633.95

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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.