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Finding the Fourth Proportional to 76,664.80, 114,928.80 and 29,906.80

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Solution

The fourth proportional to 76,664.80, 114,928.80 and 29,906.80 is: 44,833.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,664.80 : 114,928.80 = 29,906.80 : x
  2. Step 2: Convert to fraction form
    76,664.80/114,928.80 = 29,906.80/x
  3. Step 3: Cross multiply
    76,664.80x = 114,928.80 × 29,906.80
  4. Step 4: Simplify right side
    76,664.80x = 3,437,152,635.84
  5. Step 5: Solve for x
    x = 3,437,152,635.84/76,664.80
  6. Step 6: Final answer
    x = 44,833.52

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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.