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Finding the Fourth Proportional to 106,542, 159,813 and 32,670

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Solution

The fourth proportional to 106,542, 159,813 and 32,670 is: 49,005

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,542 : 159,813 = 32,670 : x
  2. Step 2: Convert to fraction form
    106,542/159,813 = 32,670/x
  3. Step 3: Cross multiply
    106,542x = 159,813 × 32,670
  4. Step 4: Simplify right side
    106,542x = 5,221,090,710
  5. Step 5: Solve for x
    x = 5,221,090,710/106,542
  6. Step 6: Final answer
    x = 49,005

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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.