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Finding the Fourth Proportional to 76,804, 115,251.36 and 32,427.84

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Solution

The fourth proportional to 76,804, 115,251.36 and 32,427.84 is: 48,660.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,804 : 115,251.36 = 32,427.84 : x
  2. Step 2: Convert to fraction form
    76,804/115,251.36 = 32,427.84/x
  3. Step 3: Cross multiply
    76,804x = 115,251.36 × 32,427.84
  4. Step 4: Simplify right side
    76,804x = 3,737,352,661.86
  5. Step 5: Solve for x
    x = 3,737,352,661.86/76,804
  6. Step 6: Final answer
    x = 48,660.91

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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.