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Finding the Fourth Proportional to 38,381.49, 57,634.76 and 23,683.84

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Solution

The fourth proportional to 38,381.49, 57,634.76 and 23,683.84 is: 35,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,381.49 : 57,634.76 = 23,683.84 : x
  2. Step 2: Convert to fraction form
    38,381.49/57,634.76 = 23,683.84/x
  3. Step 3: Cross multiply
    38,381.49x = 57,634.76 × 23,683.84
  4. Step 4: Simplify right side
    38,381.49x = 1,365,012,171.77
  5. Step 5: Solve for x
    x = 1,365,012,171.77/38,381.49
  6. Step 6: Final answer
    x = 35,564.34

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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.