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Finding the Fourth Proportional to 30,824.88, 42,538.44 and 16,677.84

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Solution

The fourth proportional to 30,824.88, 42,538.44 and 16,677.84 is: 23,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824.88 : 42,538.44 = 16,677.84 : x
  2. Step 2: Convert to fraction form
    30,824.88/42,538.44 = 16,677.84/x
  3. Step 3: Cross multiply
    30,824.88x = 42,538.44 × 16,677.84
  4. Step 4: Simplify right side
    30,824.88x = 709,449,296.17
  5. Step 5: Solve for x
    x = 709,449,296.17/30,824.88
  6. Step 6: Final answer
    x = 23,015.48

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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.