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Finding the Fourth Proportional to 110,073.84, 165,119.85 and 35,204.64

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Solution

The fourth proportional to 110,073.84, 165,119.85 and 35,204.64 is: 52,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,073.84 : 165,119.85 = 35,204.64 : x
  2. Step 2: Convert to fraction form
    110,073.84/165,119.85 = 35,204.64/x
  3. Step 3: Cross multiply
    110,073.84x = 165,119.85 × 35,204.64
  4. Step 4: Simplify right side
    110,073.84x = 5,812,984,876.10
  5. Step 5: Solve for x
    x = 5,812,984,876.10/110,073.84
  6. Step 6: Final answer
    x = 52,809.87

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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.