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Finding the Fourth Proportional to 106,683.84, 160,072.44 and 50,564.02

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Solution

The fourth proportional to 106,683.84, 160,072.44 and 50,564.02 is: 75,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,683.84 : 160,072.44 = 50,564.02 : x
  2. Step 2: Convert to fraction form
    106,683.84/160,072.44 = 50,564.02/x
  3. Step 3: Cross multiply
    106,683.84x = 160,072.44 × 50,564.02
  4. Step 4: Simplify right side
    106,683.84x = 8,093,906,057.61
  5. Step 5: Solve for x
    x = 8,093,906,057.61/106,683.84
  6. Step 6: Final answer
    x = 75,868.15

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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.