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Finding the Fourth Proportional to 71,997.84, 107,973.29 and 34,043.36

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Solution

The fourth proportional to 71,997.84, 107,973.29 and 34,043.36 is: 51,053.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,997.84 : 107,973.29 = 34,043.36 : x
  2. Step 2: Convert to fraction form
    71,997.84/107,973.29 = 34,043.36/x
  3. Step 3: Cross multiply
    71,997.84x = 107,973.29 × 34,043.36
  4. Step 4: Simplify right side
    71,997.84x = 3,675,773,127.10
  5. Step 5: Solve for x
    x = 3,675,773,127.10/71,997.84
  6. Step 6: Final answer
    x = 51,053.94

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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.