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Finding the Fourth Proportional to 30,310.89, 41,830.19 and 17,564.50

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Solution

The fourth proportional to 30,310.89, 41,830.19 and 17,564.50 is: 24,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,310.89 : 41,830.19 = 17,564.50 : x
  2. Step 2: Convert to fraction form
    30,310.89/41,830.19 = 17,564.50/x
  3. Step 3: Cross multiply
    30,310.89x = 41,830.19 × 17,564.50
  4. Step 4: Simplify right side
    30,310.89x = 734,726,372.26
  5. Step 5: Solve for x
    x = 734,726,372.26/30,310.89
  6. Step 6: Final answer
    x = 24,239.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.