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Finding the Fourth Proportional to 32,680.56, 48,977.64 and 11,884.08

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Solution

The fourth proportional to 32,680.56, 48,977.64 and 11,884.08 is: 17,810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,680.56 : 48,977.64 = 11,884.08 : x
  2. Step 2: Convert to fraction form
    32,680.56/48,977.64 = 11,884.08/x
  3. Step 3: Cross multiply
    32,680.56x = 48,977.64 × 11,884.08
  4. Step 4: Simplify right side
    32,680.56x = 582,054,191.97
  5. Step 5: Solve for x
    x = 582,054,191.97/32,680.56
  6. Step 6: Final answer
    x = 17,810.41

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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.