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Finding the Fourth Proportional to 53,657.84, 80,487.32 and 16,218.22

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Solution

The fourth proportional to 53,657.84, 80,487.32 and 16,218.22 is: 24,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,657.84 : 80,487.32 = 16,218.22 : x
  2. Step 2: Convert to fraction form
    53,657.84/80,487.32 = 16,218.22/x
  3. Step 3: Cross multiply
    53,657.84x = 80,487.32 × 16,218.22
  4. Step 4: Simplify right side
    53,657.84x = 1,305,361,062.97
  5. Step 5: Solve for x
    x = 1,305,361,062.97/53,657.84
  6. Step 6: Final answer
    x = 24,327.50

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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.