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Finding the Fourth Proportional to 50,493.67, 69,681.75 and 27,833.53

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Solution

The fourth proportional to 50,493.67, 69,681.75 and 27,833.53 is: 38,410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,493.67 : 69,681.75 = 27,833.53 : x
  2. Step 2: Convert to fraction form
    50,493.67/69,681.75 = 27,833.53/x
  3. Step 3: Cross multiply
    50,493.67x = 69,681.75 × 27,833.53
  4. Step 4: Simplify right side
    50,493.67x = 1,939,489,079.08
  5. Step 5: Solve for x
    x = 1,939,489,079.08/50,493.67
  6. Step 6: Final answer
    x = 38,410.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.