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Finding the Fourth Proportional to 32,675.70, 48,983.91 and 11,884.50

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Solution

The fourth proportional to 32,675.70, 48,983.91 and 11,884.50 is: 17,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,675.70 : 48,983.91 = 11,884.50 : x
  2. Step 2: Convert to fraction form
    32,675.70/48,983.91 = 11,884.50/x
  3. Step 3: Cross multiply
    32,675.70x = 48,983.91 × 11,884.50
  4. Step 4: Simplify right side
    32,675.70x = 582,149,278.40
  5. Step 5: Solve for x
    x = 582,149,278.40/32,675.70
  6. Step 6: Final answer
    x = 17,815.97

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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.