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Finding the Fourth Proportional to 57,664.50, 86,496.84 and 16,111.50

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Solution

The fourth proportional to 57,664.50, 86,496.84 and 16,111.50 is: 24,167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,664.50 : 86,496.84 = 16,111.50 : x
  2. Step 2: Convert to fraction form
    57,664.50/86,496.84 = 16,111.50/x
  3. Step 3: Cross multiply
    57,664.50x = 86,496.84 × 16,111.50
  4. Step 4: Simplify right side
    57,664.50x = 1,393,593,837.66
  5. Step 5: Solve for x
    x = 1,393,593,837.66/57,664.50
  6. Step 6: Final answer
    x = 24,167.28

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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.