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Finding the Fourth Proportional to 123,001, 184,501.50 and 35,449

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Solution

The fourth proportional to 123,001, 184,501.50 and 35,449 is: 53,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,001 : 184,501.50 = 35,449 : x
  2. Step 2: Convert to fraction form
    123,001/184,501.50 = 35,449/x
  3. Step 3: Cross multiply
    123,001x = 184,501.50 × 35,449
  4. Step 4: Simplify right side
    123,001x = 6,540,393,673.50
  5. Step 5: Solve for x
    x = 6,540,393,673.50/123,001
  6. Step 6: Final answer
    x = 53,173.50

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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.