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Finding the Fourth Proportional to 30,816.29, 42,527.70 and 18,067.70

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Solution

The fourth proportional to 30,816.29, 42,527.70 and 18,067.70 is: 24,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816.29 : 42,527.70 = 18,067.70 : x
  2. Step 2: Convert to fraction form
    30,816.29/42,527.70 = 18,067.70/x
  3. Step 3: Cross multiply
    30,816.29x = 42,527.70 × 18,067.70
  4. Step 4: Simplify right side
    30,816.29x = 768,377,831.61
  5. Step 5: Solve for x
    x = 768,377,831.61/30,816.29
  6. Step 6: Final answer
    x = 24,934.14

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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.