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Finding the Fourth Proportional to 106,684.97, 159,916.28 and 43,477.65

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Solution

The fourth proportional to 106,684.97, 159,916.28 and 43,477.65 is: 65,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,684.97 : 159,916.28 = 43,477.65 : x
  2. Step 2: Convert to fraction form
    106,684.97/159,916.28 = 43,477.65/x
  3. Step 3: Cross multiply
    106,684.97x = 159,916.28 × 43,477.65
  4. Step 4: Simplify right side
    106,684.97x = 6,952,783,833.75
  5. Step 5: Solve for x
    x = 6,952,783,833.75/106,684.97
  6. Step 6: Final answer
    x = 65,171.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.