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Finding the Fourth Proportional to 30,939.57, 46,408.95 and 7,566.21

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Solution

The fourth proportional to 30,939.57, 46,408.95 and 7,566.21 is: 11,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,939.57 : 46,408.95 = 7,566.21 : x
  2. Step 2: Convert to fraction form
    30,939.57/46,408.95 = 7,566.21/x
  3. Step 3: Cross multiply
    30,939.57x = 46,408.95 × 7,566.21
  4. Step 4: Simplify right side
    30,939.57x = 351,139,861.58
  5. Step 5: Solve for x
    x = 351,139,861.58/30,939.57
  6. Step 6: Final answer
    x = 11,349.22

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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.