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Finding the Fourth Proportional to 33,010.85, 49,398 and 28,583.80

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Solution

The fourth proportional to 33,010.85, 49,398 and 28,583.80 is: 42,773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,010.85 : 49,398 = 28,583.80 : x
  2. Step 2: Convert to fraction form
    33,010.85/49,398 = 28,583.80/x
  3. Step 3: Cross multiply
    33,010.85x = 49,398 × 28,583.80
  4. Step 4: Simplify right side
    33,010.85x = 1,411,982,552.40
  5. Step 5: Solve for x
    x = 1,411,982,552.40/33,010.85
  6. Step 6: Final answer
    x = 42,773.29

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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.