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Finding the Fourth Proportional to 76,643.98, 114,927.32 and 23,325.73

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Solution

The fourth proportional to 76,643.98, 114,927.32 and 23,325.73 is: 34,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,643.98 : 114,927.32 = 23,325.73 : x
  2. Step 2: Convert to fraction form
    76,643.98/114,927.32 = 23,325.73/x
  3. Step 3: Cross multiply
    76,643.98x = 114,927.32 × 23,325.73
  4. Step 4: Simplify right side
    76,643.98x = 2,680,763,061.31
  5. Step 5: Solve for x
    x = 2,680,763,061.31/76,643.98
  6. Step 6: Final answer
    x = 34,976.83

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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.