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Finding the Fourth Proportional to 38,311, 57,519.81 and 19,603.95

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Solution

The fourth proportional to 38,311, 57,519.81 and 19,603.95 is: 29,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,311 : 57,519.81 = 19,603.95 : x
  2. Step 2: Convert to fraction form
    38,311/57,519.81 = 19,603.95/x
  3. Step 3: Cross multiply
    38,311x = 57,519.81 × 19,603.95
  4. Step 4: Simplify right side
    38,311x = 1,127,615,479.25
  5. Step 5: Solve for x
    x = 1,127,615,479.25/38,311
  6. Step 6: Final answer
    x = 29,433.20

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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.