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Finding the Fourth Proportional to 50,687.91, 75,993.12 and 30,693.06

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Solution

The fourth proportional to 50,687.91, 75,993.12 and 30,693.06 is: 46,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,687.91 : 75,993.12 = 30,693.06 : x
  2. Step 2: Convert to fraction form
    50,687.91/75,993.12 = 30,693.06/x
  3. Step 3: Cross multiply
    50,687.91x = 75,993.12 × 30,693.06
  4. Step 4: Simplify right side
    50,687.91x = 2,332,461,391.75
  5. Step 5: Solve for x
    x = 2,332,461,391.75/50,687.91
  6. Step 6: Final answer
    x = 46,016.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.