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Finding the Fourth Proportional to 110,292.31, 165,357.80 and 35,369.81

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Solution

The fourth proportional to 110,292.31, 165,357.80 and 35,369.81 is: 53,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,292.31 : 165,357.80 = 35,369.81 : x
  2. Step 2: Convert to fraction form
    110,292.31/165,357.80 = 35,369.81/x
  3. Step 3: Cross multiply
    110,292.31x = 165,357.80 × 35,369.81
  4. Step 4: Simplify right side
    110,292.31x = 5,848,673,141.23
  5. Step 5: Solve for x
    x = 5,848,673,141.23/110,292.31
  6. Step 6: Final answer
    x = 53,028.84

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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.