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Finding the Fourth Proportional to 51,076, 76,639.92 and 23,380.96

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Solution

The fourth proportional to 51,076, 76,639.92 and 23,380.96 is: 35,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,076 : 76,639.92 = 23,380.96 : x
  2. Step 2: Convert to fraction form
    51,076/76,639.92 = 23,380.96/x
  3. Step 3: Cross multiply
    51,076x = 76,639.92 × 23,380.96
  4. Step 4: Simplify right side
    51,076x = 1,791,914,903.92
  5. Step 5: Solve for x
    x = 1,791,914,903.92/51,076
  6. Step 6: Final answer
    x = 35,083.31

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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.