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Finding the Fourth Proportional to 71,261.53, 106,908.50 and 37,964.05

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Solution

The fourth proportional to 71,261.53, 106,908.50 and 37,964.05 is: 56,954.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,261.53 : 106,908.50 = 37,964.05 : x
  2. Step 2: Convert to fraction form
    71,261.53/106,908.50 = 37,964.05/x
  3. Step 3: Cross multiply
    71,261.53x = 106,908.50 × 37,964.05
  4. Step 4: Simplify right side
    71,261.53x = 4,058,679,639.43
  5. Step 5: Solve for x
    x = 4,058,679,639.43/71,261.53
  6. Step 6: Final answer
    x = 56,954.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.