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Finding the Fourth Proportional to 71,795, 107,696.86 and 22,547

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Solution

The fourth proportional to 71,795, 107,696.86 and 22,547 is: 33,821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,795 : 107,696.86 = 22,547 : x
  2. Step 2: Convert to fraction form
    71,795/107,696.86 = 22,547/x
  3. Step 3: Cross multiply
    71,795x = 107,696.86 × 22,547
  4. Step 4: Simplify right side
    71,795x = 2,428,241,102.42
  5. Step 5: Solve for x
    x = 2,428,241,102.42/71,795
  6. Step 6: Final answer
    x = 33,821.87

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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.