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Finding the Fourth Proportional to 76,889.62, 115,333.70 and 24,299.10

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Solution

The fourth proportional to 76,889.62, 115,333.70 and 24,299.10 is: 36,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,889.62 : 115,333.70 = 24,299.10 : x
  2. Step 2: Convert to fraction form
    76,889.62/115,333.70 = 24,299.10/x
  3. Step 3: Cross multiply
    76,889.62x = 115,333.70 × 24,299.10
  4. Step 4: Simplify right side
    76,889.62x = 2,802,505,109.67
  5. Step 5: Solve for x
    x = 2,802,505,109.67/76,889.62
  6. Step 6: Final answer
    x = 36,448.42

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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.