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Finding the Fourth Proportional to 85,684.68, 128,482.92 and 50,215.32

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Solution

The fourth proportional to 85,684.68, 128,482.92 and 50,215.32 is: 75,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,684.68 : 128,482.92 = 50,215.32 : x
  2. Step 2: Convert to fraction form
    85,684.68/128,482.92 = 50,215.32/x
  3. Step 3: Cross multiply
    85,684.68x = 128,482.92 × 50,215.32
  4. Step 4: Simplify right side
    85,684.68x = 6,451,810,942.33
  5. Step 5: Solve for x
    x = 6,451,810,942.33/85,684.68
  6. Step 6: Final answer
    x = 75,297.14

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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.