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Finding the Fourth Proportional to 109,957.50, 164,936.25 and 39,836.81

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Solution

The fourth proportional to 109,957.50, 164,936.25 and 39,836.81 is: 59,755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,957.50 : 164,936.25 = 39,836.81 : x
  2. Step 2: Convert to fraction form
    109,957.50/164,936.25 = 39,836.81/x
  3. Step 3: Cross multiply
    109,957.50x = 164,936.25 × 39,836.81
  4. Step 4: Simplify right side
    109,957.50x = 6,570,534,465.70
  5. Step 5: Solve for x
    x = 6,570,534,465.70/109,957.50
  6. Step 6: Final answer
    x = 59,755.22

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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.