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Finding the Fourth Proportional to 123,083.79, 184,627.14 and 34,331.88

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Solution

The fourth proportional to 123,083.79, 184,627.14 and 34,331.88 is: 51,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,083.79 : 184,627.14 = 34,331.88 : x
  2. Step 2: Convert to fraction form
    123,083.79/184,627.14 = 34,331.88/x
  3. Step 3: Cross multiply
    123,083.79x = 184,627.14 × 34,331.88
  4. Step 4: Simplify right side
    123,083.79x = 6,338,596,815.22
  5. Step 5: Solve for x
    x = 6,338,596,815.22/123,083.79
  6. Step 6: Final answer
    x = 51,498.23

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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.