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Finding the Fourth Proportional to 38,513.29, 57,722.22 and 21,822.76

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Solution

The fourth proportional to 38,513.29, 57,722.22 and 21,822.76 is: 32,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,513.29 : 57,722.22 = 21,822.76 : x
  2. Step 2: Convert to fraction form
    38,513.29/57,722.22 = 21,822.76/x
  3. Step 3: Cross multiply
    38,513.29x = 57,722.22 × 21,822.76
  4. Step 4: Simplify right side
    38,513.29x = 1,259,658,153.73
  5. Step 5: Solve for x
    x = 1,259,658,153.73/38,513.29
  6. Step 6: Final answer
    x = 32,707.10

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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.