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Finding the Fourth Proportional to 90,568.83, 135,891.73 and 48,438

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Solution

The fourth proportional to 90,568.83, 135,891.73 and 48,438 is: 72,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,568.83 : 135,891.73 = 48,438 : x
  2. Step 2: Convert to fraction form
    90,568.83/135,891.73 = 48,438/x
  3. Step 3: Cross multiply
    90,568.83x = 135,891.73 × 48,438
  4. Step 4: Simplify right side
    90,568.83x = 6,582,323,405.82
  5. Step 5: Solve for x
    x = 6,582,323,405.82/90,568.83
  6. Step 6: Final answer
    x = 72,677.58

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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.