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Finding the Fourth Proportional to 110,420.56, 165,579.88 and 35,526.80

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Solution

The fourth proportional to 110,420.56, 165,579.88 and 35,526.80 is: 53,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,420.56 : 165,579.88 = 35,526.80 : x
  2. Step 2: Convert to fraction form
    110,420.56/165,579.88 = 35,526.80/x
  3. Step 3: Cross multiply
    110,420.56x = 165,579.88 × 35,526.80
  4. Step 4: Simplify right side
    110,420.56x = 5,882,523,280.78
  5. Step 5: Solve for x
    x = 5,882,523,280.78/110,420.56
  6. Step 6: Final answer
    x = 53,273.80

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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.