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Finding the Fourth Proportional to 123,119.79, 184,685.21 and 37,724.38

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Solution

The fourth proportional to 123,119.79, 184,685.21 and 37,724.38 is: 56,588.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,119.79 : 184,685.21 = 37,724.38 : x
  2. Step 2: Convert to fraction form
    123,119.79/184,685.21 = 37,724.38/x
  3. Step 3: Cross multiply
    123,119.79x = 184,685.21 × 37,724.38
  4. Step 4: Simplify right side
    123,119.79x = 6,967,134,533.55
  5. Step 5: Solve for x
    x = 6,967,134,533.55/123,119.79
  6. Step 6: Final answer
    x = 56,588.26

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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.