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Finding the Fourth Proportional to 38,664, 57,954.54 and 25,331.96

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Solution

The fourth proportional to 38,664, 57,954.54 and 25,331.96 is: 37,970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,664 : 57,954.54 = 25,331.96 : x
  2. Step 2: Convert to fraction form
    38,664/57,954.54 = 25,331.96/x
  3. Step 3: Cross multiply
    38,664x = 57,954.54 × 25,331.96
  4. Step 4: Simplify right side
    38,664x = 1,468,102,089.10
  5. Step 5: Solve for x
    x = 1,468,102,089.10/38,664
  6. Step 6: Final answer
    x = 37,970.78

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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.