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Finding the Fourth Proportional to 65,785.68, 90,784.24 and 35,571

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Solution

The fourth proportional to 65,785.68, 90,784.24 and 35,571 is: 49,087.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,785.68 : 90,784.24 = 35,571 : x
  2. Step 2: Convert to fraction form
    65,785.68/90,784.24 = 35,571/x
  3. Step 3: Cross multiply
    65,785.68x = 90,784.24 × 35,571
  4. Step 4: Simplify right side
    65,785.68x = 3,229,286,201.04
  5. Step 5: Solve for x
    x = 3,229,286,201.04/65,785.68
  6. Step 6: Final answer
    x = 49,087.98

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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.