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Finding the Fourth Proportional to 50,574.67, 75,895.82 and 20,992.50

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Solution

The fourth proportional to 50,574.67, 75,895.82 and 20,992.50 is: 31,502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,574.67 : 75,895.82 = 20,992.50 : x
  2. Step 2: Convert to fraction form
    50,574.67/75,895.82 = 20,992.50/x
  3. Step 3: Cross multiply
    50,574.67x = 75,895.82 × 20,992.50
  4. Step 4: Simplify right side
    50,574.67x = 1,593,243,001.35
  5. Step 5: Solve for x
    x = 1,593,243,001.35/50,574.67
  6. Step 6: Final answer
    x = 31,502.79

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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.