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Finding the Fourth Proportional to 30,742.38, 42,425.11 and 18,642.81

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Solution

The fourth proportional to 30,742.38, 42,425.11 and 18,642.81 is: 25,727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.38 : 42,425.11 = 18,642.81 : x
  2. Step 2: Convert to fraction form
    30,742.38/42,425.11 = 18,642.81/x
  3. Step 3: Cross multiply
    30,742.38x = 42,425.11 × 18,642.81
  4. Step 4: Simplify right side
    30,742.38x = 790,923,264.96
  5. Step 5: Solve for x
    x = 790,923,264.96/30,742.38
  6. Step 6: Final answer
    x = 25,727.46

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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.