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Finding the Fourth Proportional to 37,310.50, 51,471.84 and 25,207.09

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Solution

The fourth proportional to 37,310.50, 51,471.84 and 25,207.09 is: 34,774.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,310.50 : 51,471.84 = 25,207.09 : x
  2. Step 2: Convert to fraction form
    37,310.50/51,471.84 = 25,207.09/x
  3. Step 3: Cross multiply
    37,310.50x = 51,471.84 × 25,207.09
  4. Step 4: Simplify right side
    37,310.50x = 1,297,455,174.67
  5. Step 5: Solve for x
    x = 1,297,455,174.67/37,310.50
  6. Step 6: Final answer
    x = 34,774.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.