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Finding the Fourth Proportional to 30,719.60, 42,381.96 and 20,115.28

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Solution

The fourth proportional to 30,719.60, 42,381.96 and 20,115.28 is: 27,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,719.60 : 42,381.96 = 20,115.28 : x
  2. Step 2: Convert to fraction form
    30,719.60/42,381.96 = 20,115.28/x
  3. Step 3: Cross multiply
    30,719.60x = 42,381.96 × 20,115.28
  4. Step 4: Simplify right side
    30,719.60x = 852,524,992.35
  5. Step 5: Solve for x
    x = 852,524,992.35/30,719.60
  6. Step 6: Final answer
    x = 27,751.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.