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Finding the Fourth Proportional to 31,398.90, 47,099.88 and 12,676.60

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Solution

The fourth proportional to 31,398.90, 47,099.88 and 12,676.60 is: 19,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,398.90 : 47,099.88 = 12,676.60 : x
  2. Step 2: Convert to fraction form
    31,398.90/47,099.88 = 12,676.60/x
  3. Step 3: Cross multiply
    31,398.90x = 47,099.88 × 12,676.60
  4. Step 4: Simplify right side
    31,398.90x = 597,066,397.68
  5. Step 5: Solve for x
    x = 597,066,397.68/31,398.90
  6. Step 6: Final answer
    x = 19,015.52

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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.