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Finding the Fourth Proportional to 32,361.78, 48,480.47 and 19,845.30

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Solution

The fourth proportional to 32,361.78, 48,480.47 and 19,845.30 is: 29,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,361.78 : 48,480.47 = 19,845.30 : x
  2. Step 2: Convert to fraction form
    32,361.78/48,480.47 = 19,845.30/x
  3. Step 3: Cross multiply
    32,361.78x = 48,480.47 × 19,845.30
  4. Step 4: Simplify right side
    32,361.78x = 962,109,739.92
  5. Step 5: Solve for x
    x = 962,109,739.92/32,361.78
  6. Step 6: Final answer
    x = 29,729.82

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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.