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Finding the Fourth Proportional to 48,431.25, 72,646.75 and 12,892.57

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Solution

The fourth proportional to 48,431.25, 72,646.75 and 12,892.57 is: 19,338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,431.25 : 72,646.75 = 12,892.57 : x
  2. Step 2: Convert to fraction form
    48,431.25/72,646.75 = 12,892.57/x
  3. Step 3: Cross multiply
    48,431.25x = 72,646.75 × 12,892.57
  4. Step 4: Simplify right side
    48,431.25x = 936,603,309.65
  5. Step 5: Solve for x
    x = 936,603,309.65/48,431.25
  6. Step 6: Final answer
    x = 19,338.82

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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.