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Finding the Fourth Proportional to 50,734, 76,101.24 and 17,902

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Solution

The fourth proportional to 50,734, 76,101.24 and 17,902 is: 26,853.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,734 : 76,101.24 = 17,902 : x
  2. Step 2: Convert to fraction form
    50,734/76,101.24 = 17,902/x
  3. Step 3: Cross multiply
    50,734x = 76,101.24 × 17,902
  4. Step 4: Simplify right side
    50,734x = 1,362,364,398.48
  5. Step 5: Solve for x
    x = 1,362,364,398.48/50,734
  6. Step 6: Final answer
    x = 26,853.08

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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.