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Finding the Fourth Proportional to 30,627.83, 42,267.41 and 17,201.46

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Solution

The fourth proportional to 30,627.83, 42,267.41 and 17,201.46 is: 23,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,627.83 : 42,267.41 = 17,201.46 : x
  2. Step 2: Convert to fraction form
    30,627.83/42,267.41 = 17,201.46/x
  3. Step 3: Cross multiply
    30,627.83x = 42,267.41 × 17,201.46
  4. Step 4: Simplify right side
    30,627.83x = 727,061,076.41
  5. Step 5: Solve for x
    x = 727,061,076.41/30,627.83
  6. Step 6: Final answer
    x = 23,738.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.