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Finding the Fourth Proportional to 75,635, 113,504.34 and 26,387

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Solution

The fourth proportional to 75,635, 113,504.34 and 26,387 is: 39,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,635 : 113,504.34 = 26,387 : x
  2. Step 2: Convert to fraction form
    75,635/113,504.34 = 26,387/x
  3. Step 3: Cross multiply
    75,635x = 113,504.34 × 26,387
  4. Step 4: Simplify right side
    75,635x = 2,995,039,019.58
  5. Step 5: Solve for x
    x = 2,995,039,019.58/75,635
  6. Step 6: Final answer
    x = 39,598.59

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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.