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Finding the Fourth Proportional to 38,394.66, 57,555 and 19,683.48

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Solution

The fourth proportional to 38,394.66, 57,555 and 19,683.48 is: 29,506.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,394.66 : 57,555 = 19,683.48 : x
  2. Step 2: Convert to fraction form
    38,394.66/57,555 = 19,683.48/x
  3. Step 3: Cross multiply
    38,394.66x = 57,555 × 19,683.48
  4. Step 4: Simplify right side
    38,394.66x = 1,132,882,691.40
  5. Step 5: Solve for x
    x = 1,132,882,691.40/38,394.66
  6. Step 6: Final answer
    x = 29,506.26

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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.