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Finding the Fourth Proportional to 122,385.06, 183,542.31 and 33,641.46

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Solution

The fourth proportional to 122,385.06, 183,542.31 and 33,641.46 is: 50,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,385.06 : 183,542.31 = 33,641.46 : x
  2. Step 2: Convert to fraction form
    122,385.06/183,542.31 = 33,641.46/x
  3. Step 3: Cross multiply
    122,385.06x = 183,542.31 × 33,641.46
  4. Step 4: Simplify right side
    122,385.06x = 6,174,631,280.17
  5. Step 5: Solve for x
    x = 6,174,631,280.17/122,385.06
  6. Step 6: Final answer
    x = 50,452.49

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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.