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Finding the Fourth Proportional to 31,775.90, 47,676.40 and 12,059.69

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Solution

The fourth proportional to 31,775.90, 47,676.40 and 12,059.69 is: 18,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.90 : 47,676.40 = 12,059.69 : x
  2. Step 2: Convert to fraction form
    31,775.90/47,676.40 = 12,059.69/x
  3. Step 3: Cross multiply
    31,775.90x = 47,676.40 × 12,059.69
  4. Step 4: Simplify right side
    31,775.90x = 574,962,335.78
  5. Step 5: Solve for x
    x = 574,962,335.78/31,775.90
  6. Step 6: Final answer
    x = 18,094.29

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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.