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Finding the Fourth Proportional to 122,442.33, 183,628.72 and 47,546.49

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Solution

The fourth proportional to 122,442.33, 183,628.72 and 47,546.49 is: 71,306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,442.33 : 183,628.72 = 47,546.49 : x
  2. Step 2: Convert to fraction form
    122,442.33/183,628.72 = 47,546.49/x
  3. Step 3: Cross multiply
    122,442.33x = 183,628.72 × 47,546.49
  4. Step 4: Simplify right side
    122,442.33x = 8,730,901,847.23
  5. Step 5: Solve for x
    x = 8,730,901,847.23/122,442.33
  6. Step 6: Final answer
    x = 71,306.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.