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Finding the Fourth Proportional to 57,677.84, 79,601.56 and 33,824.56

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Solution

The fourth proportional to 57,677.84, 79,601.56 and 33,824.56 is: 46,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,677.84 : 79,601.56 = 33,824.56 : x
  2. Step 2: Convert to fraction form
    57,677.84/79,601.56 = 33,824.56/x
  3. Step 3: Cross multiply
    57,677.84x = 79,601.56 × 33,824.56
  4. Step 4: Simplify right side
    57,677.84x = 2,692,487,742.31
  5. Step 5: Solve for x
    x = 2,692,487,742.31/57,677.84
  6. Step 6: Final answer
    x = 46,681.49

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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.