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Finding the Fourth Proportional to 75,835.74, 113,753.13 and 25,891.74

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Solution

The fourth proportional to 75,835.74, 113,753.13 and 25,891.74 is: 38,837.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,835.74 : 113,753.13 = 25,891.74 : x
  2. Step 2: Convert to fraction form
    75,835.74/113,753.13 = 25,891.74/x
  3. Step 3: Cross multiply
    75,835.74x = 113,753.13 × 25,891.74
  4. Step 4: Simplify right side
    75,835.74x = 2,945,266,466.15
  5. Step 5: Solve for x
    x = 2,945,266,466.15/75,835.74
  6. Step 6: Final answer
    x = 38,837.45

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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.