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Finding the Fourth Proportional to 31,512.90, 47,266.15 and 10,736.10

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Solution

The fourth proportional to 31,512.90, 47,266.15 and 10,736.10 is: 16,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,512.90 : 47,266.15 = 10,736.10 : x
  2. Step 2: Convert to fraction form
    31,512.90/47,266.15 = 10,736.10/x
  3. Step 3: Cross multiply
    31,512.90x = 47,266.15 × 10,736.10
  4. Step 4: Simplify right side
    31,512.90x = 507,454,113.02
  5. Step 5: Solve for x
    x = 507,454,113.02/31,512.90
  6. Step 6: Final answer
    x = 16,103.06

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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.