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Finding the Fourth Proportional to 32,524.60, 48,796.08 and 9,151.24

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Solution

The fourth proportional to 32,524.60, 48,796.08 and 9,151.24 is: 13,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,524.60 : 48,796.08 = 9,151.24 : x
  2. Step 2: Convert to fraction form
    32,524.60/48,796.08 = 9,151.24/x
  3. Step 3: Cross multiply
    32,524.60x = 48,796.08 × 9,151.24
  4. Step 4: Simplify right side
    32,524.60x = 446,544,639.14
  5. Step 5: Solve for x
    x = 446,544,639.14/32,524.60
  6. Step 6: Final answer
    x = 13,729.44

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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.