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Finding the Fourth Proportional to 106,494.44, 159,681.70 and 35,379

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Solution

The fourth proportional to 106,494.44, 159,681.70 and 35,379 is: 53,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,494.44 : 159,681.70 = 35,379 : x
  2. Step 2: Convert to fraction form
    106,494.44/159,681.70 = 35,379/x
  3. Step 3: Cross multiply
    106,494.44x = 159,681.70 × 35,379
  4. Step 4: Simplify right side
    106,494.44x = 5,649,378,864.30
  5. Step 5: Solve for x
    x = 5,649,378,864.30/106,494.44
  6. Step 6: Final answer
    x = 53,048.58

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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.