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Finding the Fourth Proportional to 57,135, 78,846.30 and 31,984.68

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Solution

The fourth proportional to 57,135, 78,846.30 and 31,984.68 is: 44,138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,135 : 78,846.30 = 31,984.68 : x
  2. Step 2: Convert to fraction form
    57,135/78,846.30 = 31,984.68/x
  3. Step 3: Cross multiply
    57,135x = 78,846.30 × 31,984.68
  4. Step 4: Simplify right side
    57,135x = 2,521,873,674.68
  5. Step 5: Solve for x
    x = 2,521,873,674.68/57,135
  6. Step 6: Final answer
    x = 44,138.86

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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.