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Finding the Fourth Proportional to 110,642.28, 165,964.04 and 27,536.28

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Solution

The fourth proportional to 110,642.28, 165,964.04 and 27,536.28 is: 41,304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,642.28 : 165,964.04 = 27,536.28 : x
  2. Step 2: Convert to fraction form
    110,642.28/165,964.04 = 27,536.28/x
  3. Step 3: Cross multiply
    110,642.28x = 165,964.04 × 27,536.28
  4. Step 4: Simplify right side
    110,642.28x = 4,570,032,275.37
  5. Step 5: Solve for x
    x = 4,570,032,275.37/110,642.28
  6. Step 6: Final answer
    x = 41,304.57

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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.