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Finding the Fourth Proportional to 73,005.97, 100,748.39 and 39,471.97

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Solution

The fourth proportional to 73,005.97, 100,748.39 and 39,471.97 is: 54,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,005.97 : 100,748.39 = 39,471.97 : x
  2. Step 2: Convert to fraction form
    73,005.97/100,748.39 = 39,471.97/x
  3. Step 3: Cross multiply
    73,005.97x = 100,748.39 × 39,471.97
  4. Step 4: Simplify right side
    73,005.97x = 3,976,737,427.63
  5. Step 5: Solve for x
    x = 3,976,737,427.63/73,005.97
  6. Step 6: Final answer
    x = 54,471.40

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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.