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Finding the Fourth Proportional to 183,876.20, 275,781.42 and 48,941

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Solution

The fourth proportional to 183,876.20, 275,781.42 and 48,941 is: 73,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,876.20 : 275,781.42 = 48,941 : x
  2. Step 2: Convert to fraction form
    183,876.20/275,781.42 = 48,941/x
  3. Step 3: Cross multiply
    183,876.20x = 275,781.42 × 48,941
  4. Step 4: Simplify right side
    183,876.20x = 13,497,018,476.22
  5. Step 5: Solve for x
    x = 13,497,018,476.22/183,876.20
  6. Step 6: Final answer
    x = 73,402.75

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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.