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Finding the Fourth Proportional to 40,119.30, 60,215.94 and 20,412

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Solution

The fourth proportional to 40,119.30, 60,215.94 and 20,412 is: 30,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,119.30 : 60,215.94 = 20,412 : x
  2. Step 2: Convert to fraction form
    40,119.30/60,215.94 = 20,412/x
  3. Step 3: Cross multiply
    40,119.30x = 60,215.94 × 20,412
  4. Step 4: Simplify right side
    40,119.30x = 1,229,127,767.28
  5. Step 5: Solve for x
    x = 1,229,127,767.28/40,119.30
  6. Step 6: Final answer
    x = 30,636.82

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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.