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Finding the Fourth Proportional to 123,083.52, 184,551.44 and 48,114.30

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Solution

The fourth proportional to 123,083.52, 184,551.44 and 48,114.30 is: 72,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,083.52 : 184,551.44 = 48,114.30 : x
  2. Step 2: Convert to fraction form
    123,083.52/184,551.44 = 48,114.30/x
  3. Step 3: Cross multiply
    123,083.52x = 184,551.44 × 48,114.30
  4. Step 4: Simplify right side
    123,083.52x = 8,879,563,936.41
  5. Step 5: Solve for x
    x = 8,879,563,936.41/123,083.52
  6. Step 6: Final answer
    x = 72,142.59

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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.