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Finding the Fourth Proportional to 50,871.44, 76,307.16 and 23,150

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Solution

The fourth proportional to 50,871.44, 76,307.16 and 23,150 is: 34,725

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,871.44 : 76,307.16 = 23,150 : x
  2. Step 2: Convert to fraction form
    50,871.44/76,307.16 = 23,150/x
  3. Step 3: Cross multiply
    50,871.44x = 76,307.16 × 23,150
  4. Step 4: Simplify right side
    50,871.44x = 1,766,510,754
  5. Step 5: Solve for x
    x = 1,766,510,754/50,871.44
  6. Step 6: Final answer
    x = 34,725

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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.