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Finding the Fourth Proportional to 30,311.67, 45,467.59 and 10,590.23

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Solution

The fourth proportional to 30,311.67, 45,467.59 and 10,590.23 is: 15,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311.67 : 45,467.59 = 10,590.23 : x
  2. Step 2: Convert to fraction form
    30,311.67/45,467.59 = 10,590.23/x
  3. Step 3: Cross multiply
    30,311.67x = 45,467.59 × 10,590.23
  4. Step 4: Simplify right side
    30,311.67x = 481,511,981.83
  5. Step 5: Solve for x
    x = 481,511,981.83/30,311.67
  6. Step 6: Final answer
    x = 15,885.37

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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.