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Finding the Fourth Proportional to 76,807.73, 115,231.04 and 32,411.63

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Solution

The fourth proportional to 76,807.73, 115,231.04 and 32,411.63 is: 48,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,807.73 : 115,231.04 = 32,411.63 : x
  2. Step 2: Convert to fraction form
    76,807.73/115,231.04 = 32,411.63/x
  3. Step 3: Cross multiply
    76,807.73x = 115,231.04 × 32,411.63
  4. Step 4: Simplify right side
    76,807.73x = 3,734,825,833.00
  5. Step 5: Solve for x
    x = 3,734,825,833.00/76,807.73
  6. Step 6: Final answer
    x = 48,625.65

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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.