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Finding the Fourth Proportional to 48,902.68, 67,514.34 and 35,461

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Solution

The fourth proportional to 48,902.68, 67,514.34 and 35,461 is: 48,956.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,902.68 : 67,514.34 = 35,461 : x
  2. Step 2: Convert to fraction form
    48,902.68/67,514.34 = 35,461/x
  3. Step 3: Cross multiply
    48,902.68x = 67,514.34 × 35,461
  4. Step 4: Simplify right side
    48,902.68x = 2,394,126,010.74
  5. Step 5: Solve for x
    x = 2,394,126,010.74/48,902.68
  6. Step 6: Final answer
    x = 48,956.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.