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Finding the Fourth Proportional to 32,069.82, 48,112.84 and 13,344.24

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Solution

The fourth proportional to 32,069.82, 48,112.84 and 13,344.24 is: 20,019.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,069.82 : 48,112.84 = 13,344.24 : x
  2. Step 2: Convert to fraction form
    32,069.82/48,112.84 = 13,344.24/x
  3. Step 3: Cross multiply
    32,069.82x = 48,112.84 × 13,344.24
  4. Step 4: Simplify right side
    32,069.82x = 642,029,284.04
  5. Step 5: Solve for x
    x = 642,029,284.04/32,069.82
  6. Step 6: Final answer
    x = 20,019.73

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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.