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Finding the Fourth Proportional to 75,850, 113,775 and 20,446

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Solution

The fourth proportional to 75,850, 113,775 and 20,446 is: 30,669

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,850 : 113,775 = 20,446 : x
  2. Step 2: Convert to fraction form
    75,850/113,775 = 20,446/x
  3. Step 3: Cross multiply
    75,850x = 113,775 × 20,446
  4. Step 4: Simplify right side
    75,850x = 2,326,243,650
  5. Step 5: Solve for x
    x = 2,326,243,650/75,850
  6. Step 6: Final answer
    x = 30,669

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.