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Finding the Fourth Proportional to 75,750, 113,676.84 and 26,502

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Solution

The fourth proportional to 75,750, 113,676.84 and 26,502 is: 39,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,750 : 113,676.84 = 26,502 : x
  2. Step 2: Convert to fraction form
    75,750/113,676.84 = 26,502/x
  3. Step 3: Cross multiply
    75,750x = 113,676.84 × 26,502
  4. Step 4: Simplify right side
    75,750x = 3,012,663,613.68
  5. Step 5: Solve for x
    x = 3,012,663,613.68/75,750
  6. Step 6: Final answer
    x = 39,771.14

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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.