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Finding the Fourth Proportional to 50,502.26, 75,764.31 and 19,337.50

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Solution

The fourth proportional to 50,502.26, 75,764.31 and 19,337.50 is: 29,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,502.26 : 75,764.31 = 19,337.50 : x
  2. Step 2: Convert to fraction form
    50,502.26/75,764.31 = 19,337.50/x
  3. Step 3: Cross multiply
    50,502.26x = 75,764.31 × 19,337.50
  4. Step 4: Simplify right side
    50,502.26x = 1,465,092,344.63
  5. Step 5: Solve for x
    x = 1,465,092,344.63/50,502.26
  6. Step 6: Final answer
    x = 29,010.43

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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.