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Finding the Fourth Proportional to 83,802.18, 115,721.80 and 62,544.54

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Solution

The fourth proportional to 83,802.18, 115,721.80 and 62,544.54 is: 86,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,802.18 : 115,721.80 = 62,544.54 : x
  2. Step 2: Convert to fraction form
    83,802.18/115,721.80 = 62,544.54/x
  3. Step 3: Cross multiply
    83,802.18x = 115,721.80 × 62,544.54
  4. Step 4: Simplify right side
    83,802.18x = 7,237,766,748.97
  5. Step 5: Solve for x
    x = 7,237,766,748.97/83,802.18
  6. Step 6: Final answer
    x = 86,367.28

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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.