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Finding the Fourth Proportional to 38,114.34, 57,161.17 and 15,923.07

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Solution

The fourth proportional to 38,114.34, 57,161.17 and 15,923.07 is: 23,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,114.34 : 57,161.17 = 15,923.07 : x
  2. Step 2: Convert to fraction form
    38,114.34/57,161.17 = 15,923.07/x
  3. Step 3: Cross multiply
    38,114.34x = 57,161.17 × 15,923.07
  4. Step 4: Simplify right side
    38,114.34x = 910,181,311.19
  5. Step 5: Solve for x
    x = 910,181,311.19/38,114.34
  6. Step 6: Final answer
    x = 23,880.29

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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.