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Finding the Fourth Proportional to 48,078.13, 72,078.17 and 20,019.17

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Solution

The fourth proportional to 48,078.13, 72,078.17 and 20,019.17 is: 30,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,078.13 : 72,078.17 = 20,019.17 : x
  2. Step 2: Convert to fraction form
    48,078.13/72,078.17 = 20,019.17/x
  3. Step 3: Cross multiply
    48,078.13x = 72,078.17 × 20,019.17
  4. Step 4: Simplify right side
    48,078.13x = 1,442,945,331.23
  5. Step 5: Solve for x
    x = 1,442,945,331.23/48,078.13
  6. Step 6: Final answer
    x = 30,012.51

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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.