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Finding the Fourth Proportional to 122,062.48, 182,945.87 and 51,794.17

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Solution

The fourth proportional to 122,062.48, 182,945.87 and 51,794.17 is: 77,628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,062.48 : 182,945.87 = 51,794.17 : x
  2. Step 2: Convert to fraction form
    122,062.48/182,945.87 = 51,794.17/x
  3. Step 3: Cross multiply
    122,062.48x = 182,945.87 × 51,794.17
  4. Step 4: Simplify right side
    122,062.48x = 9,475,529,491.58
  5. Step 5: Solve for x
    x = 9,475,529,491.58/122,062.48
  6. Step 6: Final answer
    x = 77,628.52

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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.