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Finding the Fourth Proportional to 62,794.02, 86,696.28 and 38,946

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Solution

The fourth proportional to 62,794.02, 86,696.28 and 38,946 is: 53,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,794.02 : 86,696.28 = 38,946 : x
  2. Step 2: Convert to fraction form
    62,794.02/86,696.28 = 38,946/x
  3. Step 3: Cross multiply
    62,794.02x = 86,696.28 × 38,946
  4. Step 4: Simplify right side
    62,794.02x = 3,376,473,320.88
  5. Step 5: Solve for x
    x = 3,376,473,320.88/62,794.02
  6. Step 6: Final answer
    x = 53,770.62

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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.