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Finding the Fourth Proportional to 54,134.90, 81,196.80 and 14,696

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Solution

The fourth proportional to 54,134.90, 81,196.80 and 14,696 is: 22,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,134.90 : 81,196.80 = 14,696 : x
  2. Step 2: Convert to fraction form
    54,134.90/81,196.80 = 14,696/x
  3. Step 3: Cross multiply
    54,134.90x = 81,196.80 × 14,696
  4. Step 4: Simplify right side
    54,134.90x = 1,193,268,172.80
  5. Step 5: Solve for x
    x = 1,193,268,172.80/54,134.90
  6. Step 6: Final answer
    x = 22,042.49

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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.