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Finding the Fourth Proportional to 32,084.56, 48,109.22 and 9,891.78

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Solution

The fourth proportional to 32,084.56, 48,109.22 and 9,891.78 is: 14,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.56 : 48,109.22 = 9,891.78 : x
  2. Step 2: Convert to fraction form
    32,084.56/48,109.22 = 9,891.78/x
  3. Step 3: Cross multiply
    32,084.56x = 48,109.22 × 9,891.78
  4. Step 4: Simplify right side
    32,084.56x = 475,885,820.21
  5. Step 5: Solve for x
    x = 475,885,820.21/32,084.56
  6. Step 6: Final answer
    x = 14,832.24

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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.