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Finding the Fourth Proportional to 30,838.12, 42,552.04 and 18,086.48

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Solution

The fourth proportional to 30,838.12, 42,552.04 and 18,086.48 is: 24,956.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.12 : 42,552.04 = 18,086.48 : x
  2. Step 2: Convert to fraction form
    30,838.12/42,552.04 = 18,086.48/x
  3. Step 3: Cross multiply
    30,838.12x = 42,552.04 × 18,086.48
  4. Step 4: Simplify right side
    30,838.12x = 769,616,620.42
  5. Step 5: Solve for x
    x = 769,616,620.42/30,838.12
  6. Step 6: Final answer
    x = 24,956.66

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