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Finding the Fourth Proportional to 49,617.86, 74,349 and 42,191.78

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Solution

The fourth proportional to 49,617.86, 74,349 and 42,191.78 is: 63,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,617.86 : 74,349 = 42,191.78 : x
  2. Step 2: Convert to fraction form
    49,617.86/74,349 = 42,191.78/x
  3. Step 3: Cross multiply
    49,617.86x = 74,349 × 42,191.78
  4. Step 4: Simplify right side
    49,617.86x = 3,136,916,651.22
  5. Step 5: Solve for x
    x = 3,136,916,651.22/49,617.86
  6. Step 6: Final answer
    x = 63,221.52

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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.