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Finding the Fourth Proportional to 50,095, 75,168.42 and 25,471

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Solution

The fourth proportional to 50,095, 75,168.42 and 25,471 is: 38,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,095 : 75,168.42 = 25,471 : x
  2. Step 2: Convert to fraction form
    50,095/75,168.42 = 25,471/x
  3. Step 3: Cross multiply
    50,095x = 75,168.42 × 25,471
  4. Step 4: Simplify right side
    50,095x = 1,914,614,825.82
  5. Step 5: Solve for x
    x = 1,914,614,825.82/50,095
  6. Step 6: Final answer
    x = 38,219.68

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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.