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Finding the Fourth Proportional to 53,842.50, 80,764.47 and 16,906.50

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Solution

The fourth proportional to 53,842.50, 80,764.47 and 16,906.50 is: 25,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,842.50 : 80,764.47 = 16,906.50 : x
  2. Step 2: Convert to fraction form
    53,842.50/80,764.47 = 16,906.50/x
  3. Step 3: Cross multiply
    53,842.50x = 80,764.47 × 16,906.50
  4. Step 4: Simplify right side
    53,842.50x = 1,365,444,512.06
  5. Step 5: Solve for x
    x = 1,365,444,512.06/53,842.50
  6. Step 6: Final answer
    x = 25,359.98

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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.