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Finding the Fourth Proportional to 41,948.48, 57,889 and 22,828.26

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Solution

The fourth proportional to 41,948.48, 57,889 and 22,828.26 is: 31,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,948.48 : 57,889 = 22,828.26 : x
  2. Step 2: Convert to fraction form
    41,948.48/57,889 = 22,828.26/x
  3. Step 3: Cross multiply
    41,948.48x = 57,889 × 22,828.26
  4. Step 4: Simplify right side
    41,948.48x = 1,321,505,143.14
  5. Step 5: Solve for x
    x = 1,321,505,143.14/41,948.48
  6. Step 6: Final answer
    x = 31,503.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.