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Finding the Fourth Proportional to 73,748.43, 101,772.80 and 40,214.43

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Solution

The fourth proportional to 73,748.43, 101,772.80 and 40,214.43 is: 55,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,748.43 : 101,772.80 = 40,214.43 : x
  2. Step 2: Convert to fraction form
    73,748.43/101,772.80 = 40,214.43/x
  3. Step 3: Cross multiply
    73,748.43x = 101,772.80 × 40,214.43
  4. Step 4: Simplify right side
    73,748.43x = 4,092,734,431.57
  5. Step 5: Solve for x
    x = 4,092,734,431.57/73,748.43
  6. Step 6: Final answer
    x = 55,495.89

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Why These Related Problems?

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