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Finding the Fourth Proportional to 76,597.52, 114,930.46 and 39,137.88

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Solution

The fourth proportional to 76,597.52, 114,930.46 and 39,137.88 is: 58,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,597.52 : 114,930.46 = 39,137.88 : x
  2. Step 2: Convert to fraction form
    76,597.52/114,930.46 = 39,137.88/x
  3. Step 3: Cross multiply
    76,597.52x = 114,930.46 × 39,137.88
  4. Step 4: Simplify right side
    76,597.52x = 4,498,134,551.82
  5. Step 5: Solve for x
    x = 4,498,134,551.82/76,597.52
  6. Step 6: Final answer
    x = 58,724.28

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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.