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Finding the Fourth Proportional to 57,015.38, 78,674.41 and 31,518.31

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Solution

The fourth proportional to 57,015.38, 78,674.41 and 31,518.31 is: 43,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,015.38 : 78,674.41 = 31,518.31 : x
  2. Step 2: Convert to fraction form
    57,015.38/78,674.41 = 31,518.31/x
  3. Step 3: Cross multiply
    57,015.38x = 78,674.41 × 31,518.31
  4. Step 4: Simplify right side
    57,015.38x = 2,479,684,443.45
  5. Step 5: Solve for x
    x = 2,479,684,443.45/57,015.38
  6. Step 6: Final answer
    x = 43,491.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.