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Finding the Fourth Proportional to 86,456.57, 119,309.83 and 48,216.16

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Solution

The fourth proportional to 86,456.57, 119,309.83 and 48,216.16 is: 66,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,456.57 : 119,309.83 = 48,216.16 : x
  2. Step 2: Convert to fraction form
    86,456.57/119,309.83 = 48,216.16/x
  3. Step 3: Cross multiply
    86,456.57x = 119,309.83 × 48,216.16
  4. Step 4: Simplify right side
    86,456.57x = 5,752,661,434.04
  5. Step 5: Solve for x
    x = 5,752,661,434.04/86,456.57
  6. Step 6: Final answer
    x = 66,538.17

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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.