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Finding the Fourth Proportional to 99,954.50, 149,955.30 and 32,486.31

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Solution

The fourth proportional to 99,954.50, 149,955.30 and 32,486.31 is: 48,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,954.50 : 149,955.30 = 32,486.31 : x
  2. Step 2: Convert to fraction form
    99,954.50/149,955.30 = 32,486.31/x
  3. Step 3: Cross multiply
    99,954.50x = 149,955.30 × 32,486.31
  4. Step 4: Simplify right side
    99,954.50x = 4,871,494,361.94
  5. Step 5: Solve for x
    x = 4,871,494,361.94/99,954.50
  6. Step 6: Final answer
    x = 48,737.12

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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.