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Finding the Fourth Proportional to 50,414.93, 75,646.87 and 31,703.78

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Solution

The fourth proportional to 50,414.93, 75,646.87 and 31,703.78 is: 47,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,414.93 : 75,646.87 = 31,703.78 : x
  2. Step 2: Convert to fraction form
    50,414.93/75,646.87 = 31,703.78/x
  3. Step 3: Cross multiply
    50,414.93x = 75,646.87 × 31,703.78
  4. Step 4: Simplify right side
    50,414.93x = 2,398,291,266.67
  5. Step 5: Solve for x
    x = 2,398,291,266.67/50,414.93
  6. Step 6: Final answer
    x = 47,571.05

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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.