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Finding the Fourth Proportional to 99,593.25, 149,411.75 and 37,263.75

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Solution

The fourth proportional to 99,593.25, 149,411.75 and 37,263.75 is: 55,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,593.25 : 149,411.75 = 37,263.75 : x
  2. Step 2: Convert to fraction form
    99,593.25/149,411.75 = 37,263.75/x
  3. Step 3: Cross multiply
    99,593.25x = 149,411.75 × 37,263.75
  4. Step 4: Simplify right side
    99,593.25x = 5,567,641,912.74
  5. Step 5: Solve for x
    x = 5,567,641,912.74/99,593.25
  6. Step 6: Final answer
    x = 55,903.81

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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.