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Finding the Fourth Proportional to 54,094.78, 81,149.84 and 16,657.98

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Solution

The fourth proportional to 54,094.78, 81,149.84 and 16,657.98 is: 24,989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,094.78 : 81,149.84 = 16,657.98 : x
  2. Step 2: Convert to fraction form
    54,094.78/81,149.84 = 16,657.98/x
  3. Step 3: Cross multiply
    54,094.78x = 81,149.84 × 16,657.98
  4. Step 4: Simplify right side
    54,094.78x = 1,351,792,411.72
  5. Step 5: Solve for x
    x = 1,351,792,411.72/54,094.78
  6. Step 6: Final answer
    x = 24,989.33

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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.