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Finding the Fourth Proportional to 71,301.36, 106,899.03 and 43,214.52

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Solution

The fourth proportional to 71,301.36, 106,899.03 and 43,214.52 is: 64,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,301.36 : 106,899.03 = 43,214.52 : x
  2. Step 2: Convert to fraction form
    71,301.36/106,899.03 = 43,214.52/x
  3. Step 3: Cross multiply
    71,301.36x = 106,899.03 × 43,214.52
  4. Step 4: Simplify right side
    71,301.36x = 4,619,590,269.92
  5. Step 5: Solve for x
    x = 4,619,590,269.92/71,301.36
  6. Step 6: Final answer
    x = 64,789.65

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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.