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Finding the Fourth Proportional to 110,552.41, 165,799.92 and 31,648.22

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Solution

The fourth proportional to 110,552.41, 165,799.92 and 31,648.22 is: 47,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,552.41 : 165,799.92 = 31,648.22 : x
  2. Step 2: Convert to fraction form
    110,552.41/165,799.92 = 31,648.22/x
  3. Step 3: Cross multiply
    110,552.41x = 165,799.92 × 31,648.22
  4. Step 4: Simplify right side
    110,552.41x = 5,247,271,515.14
  5. Step 5: Solve for x
    x = 5,247,271,515.14/110,552.41
  6. Step 6: Final answer
    x = 47,464.11

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1.5x scale

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.