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Finding the Fourth Proportional to 31,057.70, 42,853.77 and 18,314.89

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Solution

The fourth proportional to 31,057.70, 42,853.77 and 18,314.89 is: 25,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.70 : 42,853.77 = 18,314.89 : x
  2. Step 2: Convert to fraction form
    31,057.70/42,853.77 = 18,314.89/x
  3. Step 3: Cross multiply
    31,057.70x = 42,853.77 × 18,314.89
  4. Step 4: Simplify right side
    31,057.70x = 784,861,976.50
  5. Step 5: Solve for x
    x = 784,861,976.50/31,057.70
  6. Step 6: Final answer
    x = 25,271.10

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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.