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Finding the Fourth Proportional to 76,474.92, 114,712.44 and 23,888.94

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Solution

The fourth proportional to 76,474.92, 114,712.44 and 23,888.94 is: 35,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,474.92 : 114,712.44 = 23,888.94 : x
  2. Step 2: Convert to fraction form
    76,474.92/114,712.44 = 23,888.94/x
  3. Step 3: Cross multiply
    76,474.92x = 114,712.44 × 23,888.94
  4. Step 4: Simplify right side
    76,474.92x = 2,740,358,596.41
  5. Step 5: Solve for x
    x = 2,740,358,596.41/76,474.92
  6. Step 6: Final answer
    x = 35,833.43

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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.