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Finding the Fourth Proportional to 123,326.84, 184,918.46 and 48,359.12

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Solution

The fourth proportional to 123,326.84, 184,918.46 and 48,359.12 is: 72,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,326.84 : 184,918.46 = 48,359.12 : x
  2. Step 2: Convert to fraction form
    123,326.84/184,918.46 = 48,359.12/x
  3. Step 3: Cross multiply
    123,326.84x = 184,918.46 × 48,359.12
  4. Step 4: Simplify right side
    123,326.84x = 8,942,493,997.36
  5. Step 5: Solve for x
    x = 8,942,493,997.36/123,326.84
  6. Step 6: Final answer
    x = 72,510.53

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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.