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Finding the Fourth Proportional to 31,104.52, 43,105.75 and 30,513.76

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Solution

The fourth proportional to 31,104.52, 43,105.75 and 30,513.76 is: 42,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104.52 : 43,105.75 = 30,513.76 : x
  2. Step 2: Convert to fraction form
    31,104.52/43,105.75 = 30,513.76/x
  3. Step 3: Cross multiply
    31,104.52x = 43,105.75 × 30,513.76
  4. Step 4: Simplify right side
    31,104.52x = 1,315,318,510.12
  5. Step 5: Solve for x
    x = 1,315,318,510.12/31,104.52
  6. Step 6: Final answer
    x = 42,287.05

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.