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Finding the Fourth Proportional to 106,654.36, 159,927.86 and 35,551.84

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Solution

The fourth proportional to 106,654.36, 159,927.86 and 35,551.84 is: 53,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,654.36 : 159,927.86 = 35,551.84 : x
  2. Step 2: Convert to fraction form
    106,654.36/159,927.86 = 35,551.84/x
  3. Step 3: Cross multiply
    106,654.36x = 159,927.86 × 35,551.84
  4. Step 4: Simplify right side
    106,654.36x = 5,685,729,690.26
  5. Step 5: Solve for x
    x = 5,685,729,690.26/106,654.36
  6. Step 6: Final answer
    x = 53,309.87

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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.