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Finding the Fourth Proportional to 122,579.67, 183,864.51 and 33,830.90

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Solution

The fourth proportional to 122,579.67, 183,864.51 and 33,830.90 is: 50,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,579.67 : 183,864.51 = 33,830.90 : x
  2. Step 2: Convert to fraction form
    122,579.67/183,864.51 = 33,830.90/x
  3. Step 3: Cross multiply
    122,579.67x = 183,864.51 × 33,830.90
  4. Step 4: Simplify right side
    122,579.67x = 6,220,300,932.04
  5. Step 5: Solve for x
    x = 6,220,300,932.04/122,579.67
  6. Step 6: Final answer
    x = 50,744.96

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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.