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Finding the Fourth Proportional to 31,035, 42,820.83 and 18,288.71

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Solution

The fourth proportional to 31,035, 42,820.83 and 18,288.71 is: 25,234.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,035 : 42,820.83 = 18,288.71 : x
  2. Step 2: Convert to fraction form
    31,035/42,820.83 = 18,288.71/x
  3. Step 3: Cross multiply
    31,035x = 42,820.83 × 18,288.71
  4. Step 4: Simplify right side
    31,035x = 783,137,527.73
  5. Step 5: Solve for x
    x = 783,137,527.73/31,035
  6. Step 6: Final answer
    x = 25,234.01

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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.