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Finding the Fourth Proportional to 32,536.53, 48,800.46 and 9,164.79

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Solution

The fourth proportional to 32,536.53, 48,800.46 and 9,164.79 is: 13,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,536.53 : 48,800.46 = 9,164.79 : x
  2. Step 2: Convert to fraction form
    32,536.53/48,800.46 = 9,164.79/x
  3. Step 3: Cross multiply
    32,536.53x = 48,800.46 × 9,164.79
  4. Step 4: Simplify right side
    32,536.53x = 447,245,967.80
  5. Step 5: Solve for x
    x = 447,245,967.80/32,536.53
  6. Step 6: Final answer
    x = 13,745.96

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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.