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Finding the Fourth Proportional to 30,414.34, 45,650.21 and 15,633.63

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Solution

The fourth proportional to 30,414.34, 45,650.21 and 15,633.63 is: 23,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414.34 : 45,650.21 = 15,633.63 : x
  2. Step 2: Convert to fraction form
    30,414.34/45,650.21 = 15,633.63/x
  3. Step 3: Cross multiply
    30,414.34x = 45,650.21 × 15,633.63
  4. Step 4: Simplify right side
    30,414.34x = 713,678,586.75
  5. Step 5: Solve for x
    x = 713,678,586.75/30,414.34
  6. Step 6: Final answer
    x = 23,465.20

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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.