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Finding the Fourth Proportional to 123,005.88, 184,536.84 and 38,765.60

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Solution

The fourth proportional to 123,005.88, 184,536.84 and 38,765.60 is: 58,157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,005.88 : 184,536.84 = 38,765.60 : x
  2. Step 2: Convert to fraction form
    123,005.88/184,536.84 = 38,765.60/x
  3. Step 3: Cross multiply
    123,005.88x = 184,536.84 × 38,765.60
  4. Step 4: Simplify right side
    123,005.88x = 7,153,681,324.70
  5. Step 5: Solve for x
    x = 7,153,681,324.70/123,005.88
  6. Step 6: Final answer
    x = 58,157.23

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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.