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Finding the Fourth Proportional to 110,522.79, 165,807.81 and 35,647.20

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Solution

The fourth proportional to 110,522.79, 165,807.81 and 35,647.20 is: 53,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,522.79 : 165,807.81 = 35,647.20 : x
  2. Step 2: Convert to fraction form
    110,522.79/165,807.81 = 35,647.20/x
  3. Step 3: Cross multiply
    110,522.79x = 165,807.81 × 35,647.20
  4. Step 4: Simplify right side
    110,522.79x = 5,910,584,164.63
  5. Step 5: Solve for x
    x = 5,910,584,164.63/110,522.79
  6. Step 6: Final answer
    x = 53,478.42

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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.