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Finding the Fourth Proportional to 106,369.39, 159,581.76 and 39,814.75

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Solution

The fourth proportional to 106,369.39, 159,581.76 and 39,814.75 is: 59,732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,369.39 : 159,581.76 = 39,814.75 : x
  2. Step 2: Convert to fraction form
    106,369.39/159,581.76 = 39,814.75/x
  3. Step 3: Cross multiply
    106,369.39x = 159,581.76 × 39,814.75
  4. Step 4: Simplify right side
    106,369.39x = 6,353,707,878.96
  5. Step 5: Solve for x
    x = 6,353,707,878.96/106,369.39
  6. Step 6: Final answer
    x = 59,732.48

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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.