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Finding the Fourth Proportional to 110,519.78, 165,812.02 and 35,638.42

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Solution

The fourth proportional to 110,519.78, 165,812.02 and 35,638.42 is: 53,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,519.78 : 165,812.02 = 35,638.42 : x
  2. Step 2: Convert to fraction form
    110,519.78/165,812.02 = 35,638.42/x
  3. Step 3: Cross multiply
    110,519.78x = 165,812.02 × 35,638.42
  4. Step 4: Simplify right side
    110,519.78x = 5,909,278,409.81
  5. Step 5: Solve for x
    x = 5,909,278,409.81/110,519.78
  6. Step 6: Final answer
    x = 53,468.06

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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.