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Finding the Fourth Proportional to 37,580.44, 51,722.92 and 32,215

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Solution

The fourth proportional to 37,580.44, 51,722.92 and 32,215 is: 44,338.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,580.44 : 51,722.92 = 32,215 : x
  2. Step 2: Convert to fraction form
    37,580.44/51,722.92 = 32,215/x
  3. Step 3: Cross multiply
    37,580.44x = 51,722.92 × 32,215
  4. Step 4: Simplify right side
    37,580.44x = 1,666,253,867.80
  5. Step 5: Solve for x
    x = 1,666,253,867.80/37,580.44
  6. Step 6: Final answer
    x = 44,338.33

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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.