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Finding the Fourth Proportional to 76,765.77, 115,152.78 and 24,179.37

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Solution

The fourth proportional to 76,765.77, 115,152.78 and 24,179.37 is: 36,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,765.77 : 115,152.78 = 24,179.37 : x
  2. Step 2: Convert to fraction form
    76,765.77/115,152.78 = 24,179.37/x
  3. Step 3: Cross multiply
    76,765.77x = 115,152.78 × 24,179.37
  4. Step 4: Simplify right side
    76,765.77x = 2,784,321,674.15
  5. Step 5: Solve for x
    x = 2,784,321,674.15/76,765.77
  6. Step 6: Final answer
    x = 36,270.35

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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.