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Finding the Fourth Proportional to 110,435.77, 165,680.12 and 35,562.97

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Solution

The fourth proportional to 110,435.77, 165,680.12 and 35,562.97 is: 53,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,435.77 : 165,680.12 = 35,562.97 : x
  2. Step 2: Convert to fraction form
    110,435.77/165,680.12 = 35,562.97/x
  3. Step 3: Cross multiply
    110,435.77x = 165,680.12 × 35,562.97
  4. Step 4: Simplify right side
    110,435.77x = 5,892,077,137.16
  5. Step 5: Solve for x
    x = 5,892,077,137.16/110,435.77
  6. Step 6: Final answer
    x = 53,352.98

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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.