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Finding the Fourth Proportional to 50,502.67, 75,755.10 and 15,442.36

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Solution

The fourth proportional to 50,502.67, 75,755.10 and 15,442.36 is: 23,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,502.67 : 75,755.10 = 15,442.36 : x
  2. Step 2: Convert to fraction form
    50,502.67/75,755.10 = 15,442.36/x
  3. Step 3: Cross multiply
    50,502.67x = 75,755.10 × 15,442.36
  4. Step 4: Simplify right side
    50,502.67x = 1,169,837,526.04
  5. Step 5: Solve for x
    x = 1,169,837,526.04/50,502.67
  6. Step 6: Final answer
    x = 23,163.87

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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.