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Finding the Fourth Proportional to 30,728.60, 42,382.84 and 21,171.68

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Solution

The fourth proportional to 30,728.60, 42,382.84 and 21,171.68 is: 29,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728.60 : 42,382.84 = 21,171.68 : x
  2. Step 2: Convert to fraction form
    30,728.60/42,382.84 = 21,171.68/x
  3. Step 3: Cross multiply
    30,728.60x = 42,382.84 × 21,171.68
  4. Step 4: Simplify right side
    30,728.60x = 897,315,925.97
  5. Step 5: Solve for x
    x = 897,315,925.97/30,728.60
  6. Step 6: Final answer
    x = 29,201.33

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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.