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Finding the Fourth Proportional to 69,882.16, 96,438.96 and 39,664.65

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Solution

The fourth proportional to 69,882.16, 96,438.96 and 39,664.65 is: 54,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,882.16 : 96,438.96 = 39,664.65 : x
  2. Step 2: Convert to fraction form
    69,882.16/96,438.96 = 39,664.65/x
  3. Step 3: Cross multiply
    69,882.16x = 96,438.96 × 39,664.65
  4. Step 4: Simplify right side
    69,882.16x = 3,825,217,495.60
  5. Step 5: Solve for x
    x = 3,825,217,495.60/69,882.16
  6. Step 6: Final answer
    x = 54,738.12

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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.