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Finding the Fourth Proportional to 71,976.84, 99,327.56 and 39,713.12

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Solution

The fourth proportional to 71,976.84, 99,327.56 and 39,713.12 is: 54,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,976.84 : 99,327.56 = 39,713.12 : x
  2. Step 2: Convert to fraction form
    71,976.84/99,327.56 = 39,713.12/x
  3. Step 3: Cross multiply
    71,976.84x = 99,327.56 × 39,713.12
  4. Step 4: Simplify right side
    71,976.84x = 3,944,607,309.59
  5. Step 5: Solve for x
    x = 3,944,607,309.59/71,976.84
  6. Step 6: Final answer
    x = 54,803.84

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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.