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Finding the Fourth Proportional to 32,257.56, 48,378.22 and 11,476.20

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Solution

The fourth proportional to 32,257.56, 48,378.22 and 11,476.20 is: 17,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,257.56 : 48,378.22 = 11,476.20 : x
  2. Step 2: Convert to fraction form
    32,257.56/48,378.22 = 11,476.20/x
  3. Step 3: Cross multiply
    32,257.56x = 48,378.22 × 11,476.20
  4. Step 4: Simplify right side
    32,257.56x = 555,198,128.36
  5. Step 5: Solve for x
    x = 555,198,128.36/32,257.56
  6. Step 6: Final answer
    x = 17,211.41

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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.