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Finding the Fourth Proportional to 71,206.58, 106,873.22 and 37,954.10

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Solution

The fourth proportional to 71,206.58, 106,873.22 and 37,954.10 is: 56,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,206.58 : 106,873.22 = 37,954.10 : x
  2. Step 2: Convert to fraction form
    71,206.58/106,873.22 = 37,954.10/x
  3. Step 3: Cross multiply
    71,206.58x = 106,873.22 × 37,954.10
  4. Step 4: Simplify right side
    71,206.58x = 4,056,276,439.72
  5. Step 5: Solve for x
    x = 4,056,276,439.72/71,206.58
  6. Step 6: Final answer
    x = 56,964.91

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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.