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Finding the Fourth Proportional to 57,678.84, 79,602.94 and 33,825.56

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Solution

The fourth proportional to 57,678.84, 79,602.94 and 33,825.56 is: 46,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,678.84 : 79,602.94 = 33,825.56 : x
  2. Step 2: Convert to fraction form
    57,678.84/79,602.94 = 33,825.56/x
  3. Step 3: Cross multiply
    57,678.84x = 79,602.94 × 33,825.56
  4. Step 4: Simplify right side
    57,678.84x = 2,692,614,023.15
  5. Step 5: Solve for x
    x = 2,692,614,023.15/57,678.84
  6. Step 6: Final answer
    x = 46,682.87

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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.