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Finding the Fourth Proportional to 91,361.49, 137,043.74 and 32,197.87

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Solution

The fourth proportional to 91,361.49, 137,043.74 and 32,197.87 is: 48,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,361.49 : 137,043.74 = 32,197.87 : x
  2. Step 2: Convert to fraction form
    91,361.49/137,043.74 = 32,197.87/x
  3. Step 3: Cross multiply
    91,361.49x = 137,043.74 × 32,197.87
  4. Step 4: Simplify right side
    91,361.49x = 4,412,516,524.83
  5. Step 5: Solve for x
    x = 4,412,516,524.83/91,361.49
  6. Step 6: Final answer
    x = 48,297.34

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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.