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Finding the Fourth Proportional to 90,411.84, 135,626.87 and 23,856.57

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Solution

The fourth proportional to 90,411.84, 135,626.87 and 23,856.57 is: 35,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,411.84 : 135,626.87 = 23,856.57 : x
  2. Step 2: Convert to fraction form
    90,411.84/135,626.87 = 23,856.57/x
  3. Step 3: Cross multiply
    90,411.84x = 135,626.87 × 23,856.57
  4. Step 4: Simplify right side
    90,411.84x = 3,235,591,977.68
  5. Step 5: Solve for x
    x = 3,235,591,977.68/90,411.84
  6. Step 6: Final answer
    x = 35,787.26

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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.