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Finding the Fourth Proportional to 24,442.40, 33,742.80 and 20,448.80

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Solution

The fourth proportional to 24,442.40, 33,742.80 and 20,448.80 is: 28,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,442.40 : 33,742.80 = 20,448.80 : x
  2. Step 2: Convert to fraction form
    24,442.40/33,742.80 = 20,448.80/x
  3. Step 3: Cross multiply
    24,442.40x = 33,742.80 × 20,448.80
  4. Step 4: Simplify right side
    24,442.40x = 689,999,768.64
  5. Step 5: Solve for x
    x = 689,999,768.64/24,442.40
  6. Step 6: Final answer
    x = 28,229.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.