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Finding the Fourth Proportional to 52,375.14, 78,516.24 and 19,089

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Solution

The fourth proportional to 52,375.14, 78,516.24 and 19,089 is: 28,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,375.14 : 78,516.24 = 19,089 : x
  2. Step 2: Convert to fraction form
    52,375.14/78,516.24 = 19,089/x
  3. Step 3: Cross multiply
    52,375.14x = 78,516.24 × 19,089
  4. Step 4: Simplify right side
    52,375.14x = 1,498,796,505.36
  5. Step 5: Solve for x
    x = 1,498,796,505.36/52,375.14
  6. Step 6: Final answer
    x = 28,616.56

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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.