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Finding the Fourth Proportional to 110,471.60, 165,731.70 and 35,595.20

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Solution

The fourth proportional to 110,471.60, 165,731.70 and 35,595.20 is: 53,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,471.60 : 165,731.70 = 35,595.20 : x
  2. Step 2: Convert to fraction form
    110,471.60/165,731.70 = 35,595.20/x
  3. Step 3: Cross multiply
    110,471.60x = 165,731.70 × 35,595.20
  4. Step 4: Simplify right side
    110,471.60x = 5,899,253,007.84
  5. Step 5: Solve for x
    x = 5,899,253,007.84/110,471.60
  6. Step 6: Final answer
    x = 53,400.63

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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.