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Finding the Fourth Proportional to 54,097.50, 81,146.86 and 16,657.28

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Solution

The fourth proportional to 54,097.50, 81,146.86 and 16,657.28 is: 24,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,097.50 : 81,146.86 = 16,657.28 : x
  2. Step 2: Convert to fraction form
    54,097.50/81,146.86 = 16,657.28/x
  3. Step 3: Cross multiply
    54,097.50x = 81,146.86 × 16,657.28
  4. Step 4: Simplify right side
    54,097.50x = 1,351,685,918.76
  5. Step 5: Solve for x
    x = 1,351,685,918.76/54,097.50
  6. Step 6: Final answer
    x = 24,986.11

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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.