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Finding the Fourth Proportional to 71,203.54, 106,742.45 and 26,861.43

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Solution

The fourth proportional to 71,203.54, 106,742.45 and 26,861.43 is: 40,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,203.54 : 106,742.45 = 26,861.43 : x
  2. Step 2: Convert to fraction form
    71,203.54/106,742.45 = 26,861.43/x
  3. Step 3: Cross multiply
    71,203.54x = 106,742.45 × 26,861.43
  4. Step 4: Simplify right side
    71,203.54x = 2,867,254,848.70
  5. Step 5: Solve for x
    x = 2,867,254,848.70/71,203.54
  6. Step 6: Final answer
    x = 40,268.43

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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.