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Finding the Fourth Proportional to 76,213.44, 114,301.71 and 31,816.08

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Solution

The fourth proportional to 76,213.44, 114,301.71 and 31,816.08 is: 47,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,213.44 : 114,301.71 = 31,816.08 : x
  2. Step 2: Convert to fraction form
    76,213.44/114,301.71 = 31,816.08/x
  3. Step 3: Cross multiply
    76,213.44x = 114,301.71 × 31,816.08
  4. Step 4: Simplify right side
    76,213.44x = 3,636,632,349.50
  5. Step 5: Solve for x
    x = 3,636,632,349.50/76,213.44
  6. Step 6: Final answer
    x = 47,716.42

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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.