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Finding the Fourth Proportional to 110,642.34, 165,973.83 and 44,066.40

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Solution

The fourth proportional to 110,642.34, 165,973.83 and 44,066.40 is: 66,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,642.34 : 165,973.83 = 44,066.40 : x
  2. Step 2: Convert to fraction form
    110,642.34/165,973.83 = 44,066.40/x
  3. Step 3: Cross multiply
    110,642.34x = 165,973.83 × 44,066.40
  4. Step 4: Simplify right side
    110,642.34x = 7,313,869,182.31
  5. Step 5: Solve for x
    x = 7,313,869,182.31/110,642.34
  6. Step 6: Final answer
    x = 66,103.71

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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.