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Finding the Fourth Proportional to 56,664, 84,957.66 and 31,721.26

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Solution

The fourth proportional to 56,664, 84,957.66 and 31,721.26 is: 47,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,664 : 84,957.66 = 31,721.26 : x
  2. Step 2: Convert to fraction form
    56,664/84,957.66 = 31,721.26/x
  3. Step 3: Cross multiply
    56,664x = 84,957.66 × 31,721.26
  4. Step 4: Simplify right side
    56,664x = 2,694,964,021.85
  5. Step 5: Solve for x
    x = 2,694,964,021.85/56,664
  6. Step 6: Final answer
    x = 47,560.43

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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.