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Finding the Fourth Proportional to 38,665.52, 57,989.32 and 21,806

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Solution

The fourth proportional to 38,665.52, 57,989.32 and 21,806 is: 32,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,665.52 : 57,989.32 = 21,806 : x
  2. Step 2: Convert to fraction form
    38,665.52/57,989.32 = 21,806/x
  3. Step 3: Cross multiply
    38,665.52x = 57,989.32 × 21,806
  4. Step 4: Simplify right side
    38,665.52x = 1,264,515,111.92
  5. Step 5: Solve for x
    x = 1,264,515,111.92/38,665.52
  6. Step 6: Final answer
    x = 32,703.95

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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.