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Finding the Fourth Proportional to 32,122.44, 48,178.44 and 9,632.88

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Solution

The fourth proportional to 32,122.44, 48,178.44 and 9,632.88 is: 14,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,122.44 : 48,178.44 = 9,632.88 : x
  2. Step 2: Convert to fraction form
    32,122.44/48,178.44 = 9,632.88/x
  3. Step 3: Cross multiply
    32,122.44x = 48,178.44 × 9,632.88
  4. Step 4: Simplify right side
    32,122.44x = 464,097,131.11
  5. Step 5: Solve for x
    x = 464,097,131.11/32,122.44
  6. Step 6: Final answer
    x = 14,447.75

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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.