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Finding the Fourth Proportional to 40,134.84, 60,214.14 and 13,842.24

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Solution

The fourth proportional to 40,134.84, 60,214.14 and 13,842.24 is: 20,767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,134.84 : 60,214.14 = 13,842.24 : x
  2. Step 2: Convert to fraction form
    40,134.84/60,214.14 = 13,842.24/x
  3. Step 3: Cross multiply
    40,134.84x = 60,214.14 × 13,842.24
  4. Step 4: Simplify right side
    40,134.84x = 833,498,577.27
  5. Step 5: Solve for x
    x = 833,498,577.27/40,134.84
  6. Step 6: Final answer
    x = 20,767.46

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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.