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Finding the Fourth Proportional to 76,093.58, 114,078.50 and 31,753.36

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Solution

The fourth proportional to 76,093.58, 114,078.50 and 31,753.36 is: 47,604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,093.58 : 114,078.50 = 31,753.36 : x
  2. Step 2: Convert to fraction form
    76,093.58/114,078.50 = 31,753.36/x
  3. Step 3: Cross multiply
    76,093.58x = 114,078.50 × 31,753.36
  4. Step 4: Simplify right side
    76,093.58x = 3,622,375,678.76
  5. Step 5: Solve for x
    x = 3,622,375,678.76/76,093.58
  6. Step 6: Final answer
    x = 47,604.22

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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.