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Finding the Fourth Proportional to 57,145.95, 78,871.02 and 33,286.77

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Solution

The fourth proportional to 57,145.95, 78,871.02 and 33,286.77 is: 45,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,145.95 : 78,871.02 = 33,286.77 : x
  2. Step 2: Convert to fraction form
    57,145.95/78,871.02 = 33,286.77/x
  3. Step 3: Cross multiply
    57,145.95x = 78,871.02 × 33,286.77
  4. Step 4: Simplify right side
    57,145.95x = 2,625,361,502.41
  5. Step 5: Solve for x
    x = 2,625,361,502.41/57,145.95
  6. Step 6: Final answer
    x = 45,941.34

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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.