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Finding the Fourth Proportional to 110,233.52, 165,295.92 and 35,336

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Solution

The fourth proportional to 110,233.52, 165,295.92 and 35,336 is: 52,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,233.52 : 165,295.92 = 35,336 : x
  2. Step 2: Convert to fraction form
    110,233.52/165,295.92 = 35,336/x
  3. Step 3: Cross multiply
    110,233.52x = 165,295.92 × 35,336
  4. Step 4: Simplify right side
    110,233.52x = 5,840,896,629.12
  5. Step 5: Solve for x
    x = 5,840,896,629.12/110,233.52
  6. Step 6: Final answer
    x = 52,986.57

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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.