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Finding the Fourth Proportional to 31,274.96, 46,912.52 and 7,901.20

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Solution

The fourth proportional to 31,274.96, 46,912.52 and 7,901.20 is: 11,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274.96 : 46,912.52 = 7,901.20 : x
  2. Step 2: Convert to fraction form
    31,274.96/46,912.52 = 7,901.20/x
  3. Step 3: Cross multiply
    31,274.96x = 46,912.52 × 7,901.20
  4. Step 4: Simplify right side
    31,274.96x = 370,665,203.02
  5. Step 5: Solve for x
    x = 370,665,203.02/31,274.96
  6. Step 6: Final answer
    x = 11,851.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.