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Finding the Fourth Proportional to 71,954.68, 107,930.40 and 32,501.20

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Solution

The fourth proportional to 71,954.68, 107,930.40 and 32,501.20 is: 48,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,954.68 : 107,930.40 = 32,501.20 : x
  2. Step 2: Convert to fraction form
    71,954.68/107,930.40 = 32,501.20/x
  3. Step 3: Cross multiply
    71,954.68x = 107,930.40 × 32,501.20
  4. Step 4: Simplify right side
    71,954.68x = 3,507,867,516.48
  5. Step 5: Solve for x
    x = 3,507,867,516.48/71,954.68
  6. Step 6: Final answer
    x = 48,751.07

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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.