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Finding the Fourth Proportional to 123,047.71, 184,448.92 and 51,988.24

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Solution

The fourth proportional to 123,047.71, 184,448.92 and 51,988.24 is: 77,930.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,047.71 : 184,448.92 = 51,988.24 : x
  2. Step 2: Convert to fraction form
    123,047.71/184,448.92 = 51,988.24/x
  3. Step 3: Cross multiply
    123,047.71x = 184,448.92 × 51,988.24
  4. Step 4: Simplify right side
    123,047.71x = 9,589,174,129.61
  5. Step 5: Solve for x
    x = 9,589,174,129.61/123,047.71
  6. Step 6: Final answer
    x = 77,930.54

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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.