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Finding the Fourth Proportional to 32,172.08, 48,255.78 and 9,984.88

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Solution

The fourth proportional to 32,172.08, 48,255.78 and 9,984.88 is: 14,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,172.08 : 48,255.78 = 9,984.88 : x
  2. Step 2: Convert to fraction form
    32,172.08/48,255.78 = 9,984.88/x
  3. Step 3: Cross multiply
    32,172.08x = 48,255.78 × 9,984.88
  4. Step 4: Simplify right side
    32,172.08x = 481,828,172.61
  5. Step 5: Solve for x
    x = 481,828,172.61/32,172.08
  6. Step 6: Final answer
    x = 14,976.59

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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.