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Finding the Fourth Proportional to 52,005, 71,737.74 and 31,871.64

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Solution

The fourth proportional to 52,005, 71,737.74 and 31,871.64 is: 43,964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005 : 71,737.74 = 31,871.64 : x
  2. Step 2: Convert to fraction form
    52,005/71,737.74 = 31,871.64/x
  3. Step 3: Cross multiply
    52,005x = 71,737.74 × 31,871.64
  4. Step 4: Simplify right side
    52,005x = 2,286,399,423.69
  5. Step 5: Solve for x
    x = 2,286,399,423.69/52,005
  6. Step 6: Final answer
    x = 43,964.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.