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Finding the Fourth Proportional to 123,038.52, 184,583.52 and 51,961.38

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Solution

The fourth proportional to 123,038.52, 184,583.52 and 51,961.38 is: 77,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,038.52 : 184,583.52 = 51,961.38 : x
  2. Step 2: Convert to fraction form
    123,038.52/184,583.52 = 51,961.38/x
  3. Step 3: Cross multiply
    123,038.52x = 184,583.52 × 51,961.38
  4. Step 4: Simplify right side
    123,038.52x = 9,591,214,424.46
  5. Step 5: Solve for x
    x = 9,591,214,424.46/123,038.52
  6. Step 6: Final answer
    x = 77,952.94

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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.