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Finding the Fourth Proportional to 41,383.76, 57,109.56 and 22,521

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Solution

The fourth proportional to 41,383.76, 57,109.56 and 22,521 is: 31,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,383.76 : 57,109.56 = 22,521 : x
  2. Step 2: Convert to fraction form
    41,383.76/57,109.56 = 22,521/x
  3. Step 3: Cross multiply
    41,383.76x = 57,109.56 × 22,521
  4. Step 4: Simplify right side
    41,383.76x = 1,286,164,400.76
  5. Step 5: Solve for x
    x = 1,286,164,400.76/41,383.76
  6. Step 6: Final answer
    x = 31,078.96

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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.