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Finding the Fourth Proportional to 96,856.38, 133,601.49 and 66,589.16

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Solution

The fourth proportional to 96,856.38, 133,601.49 and 66,589.16 is: 91,851.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,856.38 : 133,601.49 = 66,589.16 : x
  2. Step 2: Convert to fraction form
    96,856.38/133,601.49 = 66,589.16/x
  3. Step 3: Cross multiply
    96,856.38x = 133,601.49 × 66,589.16
  4. Step 4: Simplify right side
    96,856.38x = 8,896,410,935.40
  5. Step 5: Solve for x
    x = 8,896,410,935.40/96,856.38
  6. Step 6: Final answer
    x = 91,851.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.