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Finding the Fourth Proportional to 73,898.68, 110,858.46 and 23,962

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Solution

The fourth proportional to 73,898.68, 110,858.46 and 23,962 is: 35,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,898.68 : 110,858.46 = 23,962 : x
  2. Step 2: Convert to fraction form
    73,898.68/110,858.46 = 23,962/x
  3. Step 3: Cross multiply
    73,898.68x = 110,858.46 × 23,962
  4. Step 4: Simplify right side
    73,898.68x = 2,656,390,418.52
  5. Step 5: Solve for x
    x = 2,656,390,418.52/73,898.68
  6. Step 6: Final answer
    x = 35,946.39

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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.