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Finding the Fourth Proportional to 75,998.32, 113,993.16 and 20,590

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Solution

The fourth proportional to 75,998.32, 113,993.16 and 20,590 is: 30,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,998.32 : 113,993.16 = 20,590 : x
  2. Step 2: Convert to fraction form
    75,998.32/113,993.16 = 20,590/x
  3. Step 3: Cross multiply
    75,998.32x = 113,993.16 × 20,590
  4. Step 4: Simplify right side
    75,998.32x = 2,347,119,164.40
  5. Step 5: Solve for x
    x = 2,347,119,164.40/75,998.32
  6. Step 6: Final answer
    x = 30,883.83

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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.