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Finding the Fourth Proportional to 123,161.63, 184,769.24 and 37,772.53

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Solution

The fourth proportional to 123,161.63, 184,769.24 and 37,772.53 is: 56,667.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,161.63 : 184,769.24 = 37,772.53 : x
  2. Step 2: Convert to fraction form
    123,161.63/184,769.24 = 37,772.53/x
  3. Step 3: Cross multiply
    123,161.63x = 184,769.24 × 37,772.53
  4. Step 4: Simplify right side
    123,161.63x = 6,979,201,010.19
  5. Step 5: Solve for x
    x = 6,979,201,010.19/123,161.63
  6. Step 6: Final answer
    x = 56,667.01

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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.