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Finding the Fourth Proportional to 38,196, 57,312.20 and 18,463.56

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Solution

The fourth proportional to 38,196, 57,312.20 and 18,463.56 is: 27,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,196 : 57,312.20 = 18,463.56 : x
  2. Step 2: Convert to fraction form
    38,196/57,312.20 = 18,463.56/x
  3. Step 3: Cross multiply
    38,196x = 57,312.20 × 18,463.56
  4. Step 4: Simplify right side
    38,196x = 1,058,187,243.43
  5. Step 5: Solve for x
    x = 1,058,187,243.43/38,196
  6. Step 6: Final answer
    x = 27,704.14

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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.