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Finding the Fourth Proportional to 71,134.02, 106,753.64 and 33,694.17

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Solution

The fourth proportional to 71,134.02, 106,753.64 and 33,694.17 is: 50,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,134.02 : 106,753.64 = 33,694.17 : x
  2. Step 2: Convert to fraction form
    71,134.02/106,753.64 = 33,694.17/x
  3. Step 3: Cross multiply
    71,134.02x = 106,753.64 × 33,694.17
  4. Step 4: Simplify right side
    71,134.02x = 3,596,975,125.81
  5. Step 5: Solve for x
    x = 3,596,975,125.81/71,134.02
  6. Step 6: Final answer
    x = 50,566.17

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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.