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Finding the Fourth Proportional to 32,396.48, 44,724.16 and 21,841.92

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Solution

The fourth proportional to 32,396.48, 44,724.16 and 21,841.92 is: 30,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,396.48 : 44,724.16 = 21,841.92 : x
  2. Step 2: Convert to fraction form
    32,396.48/44,724.16 = 21,841.92/x
  3. Step 3: Cross multiply
    32,396.48x = 44,724.16 × 21,841.92
  4. Step 4: Simplify right side
    32,396.48x = 976,861,524.79
  5. Step 5: Solve for x
    x = 976,861,524.79/32,396.48
  6. Step 6: Final answer
    x = 30,153.32

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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.