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Finding the Fourth Proportional to 50,086, 75,154.92 and 25,462

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Solution

The fourth proportional to 50,086, 75,154.92 and 25,462 is: 38,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,086 : 75,154.92 = 25,462 : x
  2. Step 2: Convert to fraction form
    50,086/75,154.92 = 25,462/x
  3. Step 3: Cross multiply
    50,086x = 75,154.92 × 25,462
  4. Step 4: Simplify right side
    50,086x = 1,913,594,573.04
  5. Step 5: Solve for x
    x = 1,913,594,573.04/50,086
  6. Step 6: Final answer
    x = 38,206.18

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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.