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Finding the Fourth Proportional to 54,100, 81,153.68 and 16,657.76

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Solution

The fourth proportional to 54,100, 81,153.68 and 16,657.76 is: 24,987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,100 : 81,153.68 = 16,657.76 : x
  2. Step 2: Convert to fraction form
    54,100/81,153.68 = 16,657.76/x
  3. Step 3: Cross multiply
    54,100x = 81,153.68 × 16,657.76
  4. Step 4: Simplify right side
    54,100x = 1,351,838,524.56
  5. Step 5: Solve for x
    x = 1,351,838,524.56/54,100
  6. Step 6: Final answer
    x = 24,987.77

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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.