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Finding the Fourth Proportional to 31,274.28, 46,907.10 and 7,899.30

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Solution

The fourth proportional to 31,274.28, 46,907.10 and 7,899.30 is: 11,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274.28 : 46,907.10 = 7,899.30 : x
  2. Step 2: Convert to fraction form
    31,274.28/46,907.10 = 7,899.30/x
  3. Step 3: Cross multiply
    31,274.28x = 46,907.10 × 7,899.30
  4. Step 4: Simplify right side
    31,274.28x = 370,533,255.03
  5. Step 5: Solve for x
    x = 370,533,255.03/31,274.28
  6. Step 6: Final answer
    x = 11,847.86

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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.