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Finding the Fourth Proportional to 123,419.39, 185,135.43 and 34,679.82

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Solution

The fourth proportional to 123,419.39, 185,135.43 and 34,679.82 is: 52,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,419.39 : 185,135.43 = 34,679.82 : x
  2. Step 2: Convert to fraction form
    123,419.39/185,135.43 = 34,679.82/x
  3. Step 3: Cross multiply
    123,419.39x = 185,135.43 × 34,679.82
  4. Step 4: Simplify right side
    123,419.39x = 6,420,462,288.95
  5. Step 5: Solve for x
    x = 6,420,462,288.95/123,419.39
  6. Step 6: Final answer
    x = 52,021.50

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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.