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Finding the Fourth Proportional to 30,311.92, 45,467.96 and 10,590.48

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Solution

The fourth proportional to 30,311.92, 45,467.96 and 10,590.48 is: 15,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311.92 : 45,467.96 = 10,590.48 : x
  2. Step 2: Convert to fraction form
    30,311.92/45,467.96 = 10,590.48/x
  3. Step 3: Cross multiply
    30,311.92x = 45,467.96 × 10,590.48
  4. Step 4: Simplify right side
    30,311.92x = 481,527,521.02
  5. Step 5: Solve for x
    x = 481,527,521.02/30,311.92
  6. Step 6: Final answer
    x = 15,885.75

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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.