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Finding the Fourth Proportional to 172,422.36, 258,633.18 and 47,763

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Solution

The fourth proportional to 172,422.36, 258,633.18 and 47,763 is: 71,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,422.36 : 258,633.18 = 47,763 : x
  2. Step 2: Convert to fraction form
    172,422.36/258,633.18 = 47,763/x
  3. Step 3: Cross multiply
    172,422.36x = 258,633.18 × 47,763
  4. Step 4: Simplify right side
    172,422.36x = 12,353,096,576.34
  5. Step 5: Solve for x
    x = 12,353,096,576.34/172,422.36
  6. Step 6: Final answer
    x = 71,644.40

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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.