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Finding the Fourth Proportional to 123,318.70, 184,978.15 and 29,824.45

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Solution

The fourth proportional to 123,318.70, 184,978.15 and 29,824.45 is: 44,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,318.70 : 184,978.15 = 29,824.45 : x
  2. Step 2: Convert to fraction form
    123,318.70/184,978.15 = 29,824.45/x
  3. Step 3: Cross multiply
    123,318.70x = 184,978.15 × 29,824.45
  4. Step 4: Simplify right side
    123,318.70x = 5,516,871,048.76
  5. Step 5: Solve for x
    x = 5,516,871,048.76/123,318.70
  6. Step 6: Final answer
    x = 44,736.70

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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.