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Finding the Fourth Proportional to 32,168.63, 48,271.88 and 13,447.22

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Solution

The fourth proportional to 32,168.63, 48,271.88 and 13,447.22 is: 20,178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,168.63 : 48,271.88 = 13,447.22 : x
  2. Step 2: Convert to fraction form
    32,168.63/48,271.88 = 13,447.22/x
  3. Step 3: Cross multiply
    32,168.63x = 48,271.88 × 13,447.22
  4. Step 4: Simplify right side
    32,168.63x = 649,122,382.43
  5. Step 5: Solve for x
    x = 649,122,382.43/32,168.63
  6. Step 6: Final answer
    x = 20,178.74

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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.