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Finding the Fourth Proportional to 123,041.80, 184,553.10 and 48,147.40

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Solution

The fourth proportional to 123,041.80, 184,553.10 and 48,147.40 is: 72,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,041.80 : 184,553.10 = 48,147.40 : x
  2. Step 2: Convert to fraction form
    123,041.80/184,553.10 = 48,147.40/x
  3. Step 3: Cross multiply
    123,041.80x = 184,553.10 × 48,147.40
  4. Step 4: Simplify right side
    123,041.80x = 8,885,751,926.94
  5. Step 5: Solve for x
    x = 8,885,751,926.94/123,041.80
  6. Step 6: Final answer
    x = 72,217.34

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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.