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Finding the Fourth Proportional to 75,837, 113,773.26 and 25,917.50

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Solution

The fourth proportional to 75,837, 113,773.26 and 25,917.50 is: 38,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,837 : 113,773.26 = 25,917.50 : x
  2. Step 2: Convert to fraction form
    75,837/113,773.26 = 25,917.50/x
  3. Step 3: Cross multiply
    75,837x = 113,773.26 × 25,917.50
  4. Step 4: Simplify right side
    75,837x = 2,948,718,466.05
  5. Step 5: Solve for x
    x = 2,948,718,466.05/75,837
  6. Step 6: Final answer
    x = 38,882.32

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1.5x scale

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.