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Finding the Fourth Proportional to 32,213.68, 48,322.68 and 8,838.16

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Solution

The fourth proportional to 32,213.68, 48,322.68 and 8,838.16 is: 13,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,213.68 : 48,322.68 = 8,838.16 : x
  2. Step 2: Convert to fraction form
    32,213.68/48,322.68 = 8,838.16/x
  3. Step 3: Cross multiply
    32,213.68x = 48,322.68 × 8,838.16
  4. Step 4: Simplify right side
    32,213.68x = 427,083,577.47
  5. Step 5: Solve for x
    x = 427,083,577.47/32,213.68
  6. Step 6: Final answer
    x = 13,257.83

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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.