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Finding the Fourth Proportional to 76,882.88, 115,285.44 and 39,434.96

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Solution

The fourth proportional to 76,882.88, 115,285.44 and 39,434.96 is: 59,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,882.88 : 115,285.44 = 39,434.96 : x
  2. Step 2: Convert to fraction form
    76,882.88/115,285.44 = 39,434.96/x
  3. Step 3: Cross multiply
    76,882.88x = 115,285.44 × 39,434.96
  4. Step 4: Simplify right side
    76,882.88x = 4,546,276,714.98
  5. Step 5: Solve for x
    x = 4,546,276,714.98/76,882.88
  6. Step 6: Final answer
    x = 59,132.50

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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.