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Finding the Fourth Proportional to 123,059.72, 184,593.54 and 38,820.68

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Solution

The fourth proportional to 123,059.72, 184,593.54 and 38,820.68 is: 58,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,059.72 : 184,593.54 = 38,820.68 : x
  2. Step 2: Convert to fraction form
    123,059.72/184,593.54 = 38,820.68/x
  3. Step 3: Cross multiply
    123,059.72x = 184,593.54 × 38,820.68
  4. Step 4: Simplify right side
    123,059.72x = 7,166,046,746.41
  5. Step 5: Solve for x
    x = 7,166,046,746.41/123,059.72
  6. Step 6: Final answer
    x = 58,232.27

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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.