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Finding the Fourth Proportional to 71,802.84, 99,091.38 and 39,971.73

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Solution

The fourth proportional to 71,802.84, 99,091.38 and 39,971.73 is: 55,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,802.84 : 99,091.38 = 39,971.73 : x
  2. Step 2: Convert to fraction form
    71,802.84/99,091.38 = 39,971.73/x
  3. Step 3: Cross multiply
    71,802.84x = 99,091.38 × 39,971.73
  4. Step 4: Simplify right side
    71,802.84x = 3,960,853,886.69
  5. Step 5: Solve for x
    x = 3,960,853,886.69/71,802.84
  6. Step 6: Final answer
    x = 55,162.91

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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.