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Finding the Fourth Proportional to 62,977.24, 86,918.04 and 47,845

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Solution

The fourth proportional to 62,977.24, 86,918.04 and 47,845 is: 66,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,977.24 : 86,918.04 = 47,845 : x
  2. Step 2: Convert to fraction form
    62,977.24/86,918.04 = 47,845/x
  3. Step 3: Cross multiply
    62,977.24x = 86,918.04 × 47,845
  4. Step 4: Simplify right side
    62,977.24x = 4,158,593,623.80
  5. Step 5: Solve for x
    x = 4,158,593,623.80/62,977.24
  6. Step 6: Final answer
    x = 66,033.28

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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.