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Finding the Fourth Proportional to 43,614, 60,188.04 and 23,742

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Solution

The fourth proportional to 43,614, 60,188.04 and 23,742 is: 32,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,614 : 60,188.04 = 23,742 : x
  2. Step 2: Convert to fraction form
    43,614/60,188.04 = 23,742/x
  3. Step 3: Cross multiply
    43,614x = 60,188.04 × 23,742
  4. Step 4: Simplify right side
    43,614x = 1,428,984,445.68
  5. Step 5: Solve for x
    x = 1,428,984,445.68/43,614
  6. Step 6: Final answer
    x = 32,764.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.