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Finding the Fourth Proportional to 32,348.82, 48,523.22 and 8,975.25

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Solution

The fourth proportional to 32,348.82, 48,523.22 and 8,975.25 is: 13,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,348.82 : 48,523.22 = 8,975.25 : x
  2. Step 2: Convert to fraction form
    32,348.82/48,523.22 = 8,975.25/x
  3. Step 3: Cross multiply
    32,348.82x = 48,523.22 × 8,975.25
  4. Step 4: Simplify right side
    32,348.82x = 435,507,985.43
  5. Step 5: Solve for x
    x = 435,507,985.43/32,348.82
  6. Step 6: Final answer
    x = 13,462.87

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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.