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Finding the Fourth Proportional to 75,218.84, 112,717.36 and 41,893

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Solution

The fourth proportional to 75,218.84, 112,717.36 and 41,893 is: 62,777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,218.84 : 112,717.36 = 41,893 : x
  2. Step 2: Convert to fraction form
    75,218.84/112,717.36 = 41,893/x
  3. Step 3: Cross multiply
    75,218.84x = 112,717.36 × 41,893
  4. Step 4: Simplify right side
    75,218.84x = 4,722,068,362.48
  5. Step 5: Solve for x
    x = 4,722,068,362.48/75,218.84
  6. Step 6: Final answer
    x = 62,777.73

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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.