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Finding the Fourth Proportional to 76,092.63, 114,144.44 and 23,495.31

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Solution

The fourth proportional to 76,092.63, 114,144.44 and 23,495.31 is: 35,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,092.63 : 114,144.44 = 23,495.31 : x
  2. Step 2: Convert to fraction form
    76,092.63/114,144.44 = 23,495.31/x
  3. Step 3: Cross multiply
    76,092.63x = 114,144.44 × 23,495.31
  4. Step 4: Simplify right side
    76,092.63x = 2,681,858,885.10
  5. Step 5: Solve for x
    x = 2,681,858,885.10/76,092.63
  6. Step 6: Final answer
    x = 35,244.66

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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.