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Finding the Fourth Proportional to 110,648.16, 165,972.08 and 27,542.24

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Solution

The fourth proportional to 110,648.16, 165,972.08 and 27,542.24 is: 41,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,648.16 : 165,972.08 = 27,542.24 : x
  2. Step 2: Convert to fraction form
    110,648.16/165,972.08 = 27,542.24/x
  3. Step 3: Cross multiply
    110,648.16x = 165,972.08 × 27,542.24
  4. Step 4: Simplify right side
    110,648.16x = 4,571,242,860.66
  5. Step 5: Solve for x
    x = 4,571,242,860.66/110,648.16
  6. Step 6: Final answer
    x = 41,313.32

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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.