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Finding the Fourth Proportional to 30,705.44, 46,031.52 and 15,906.56

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Solution

The fourth proportional to 30,705.44, 46,031.52 and 15,906.56 is: 23,846.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,705.44 : 46,031.52 = 15,906.56 : x
  2. Step 2: Convert to fraction form
    30,705.44/46,031.52 = 15,906.56/x
  3. Step 3: Cross multiply
    30,705.44x = 46,031.52 × 15,906.56
  4. Step 4: Simplify right side
    30,705.44x = 732,203,134.77
  5. Step 5: Solve for x
    x = 732,203,134.77/30,705.44
  6. Step 6: Final answer
    x = 23,846.04

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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.