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Finding the Fourth Proportional to 110,549.30, 165,847.56 and 35,673.70

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Solution

The fourth proportional to 110,549.30, 165,847.56 and 35,673.70 is: 53,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,549.30 : 165,847.56 = 35,673.70 : x
  2. Step 2: Convert to fraction form
    110,549.30/165,847.56 = 35,673.70/x
  3. Step 3: Cross multiply
    110,549.30x = 165,847.56 × 35,673.70
  4. Step 4: Simplify right side
    110,549.30x = 5,916,396,101.17
  5. Step 5: Solve for x
    x = 5,916,396,101.17/110,549.30
  6. Step 6: Final answer
    x = 53,518.17

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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.