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Finding the Fourth Proportional to 50,565.38, 75,881.91 and 20,983.23

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Solution

The fourth proportional to 50,565.38, 75,881.91 and 20,983.23 is: 31,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,565.38 : 75,881.91 = 20,983.23 : x
  2. Step 2: Convert to fraction form
    50,565.38/75,881.91 = 20,983.23/x
  3. Step 3: Cross multiply
    50,565.38x = 75,881.91 × 20,983.23
  4. Step 4: Simplify right side
    50,565.38x = 1,592,247,570.37
  5. Step 5: Solve for x
    x = 1,592,247,570.37/50,565.38
  6. Step 6: Final answer
    x = 31,488.89

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