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Finding the Fourth Proportional to 83,162.16, 124,739.16 and 30,568.32

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Solution

The fourth proportional to 83,162.16, 124,739.16 and 30,568.32 is: 45,850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,162.16 : 124,739.16 = 30,568.32 : x
  2. Step 2: Convert to fraction form
    83,162.16/124,739.16 = 30,568.32/x
  3. Step 3: Cross multiply
    83,162.16x = 124,739.16 × 30,568.32
  4. Step 4: Simplify right side
    83,162.16x = 3,813,066,559.41
  5. Step 5: Solve for x
    x = 3,813,066,559.41/83,162.16
  6. Step 6: Final answer
    x = 45,850.98

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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.