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Finding the Fourth Proportional to 34,513.97, 51,738.08 and 11,124

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Solution

The fourth proportional to 34,513.97, 51,738.08 and 11,124 is: 16,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,513.97 : 51,738.08 = 11,124 : x
  2. Step 2: Convert to fraction form
    34,513.97/51,738.08 = 11,124/x
  3. Step 3: Cross multiply
    34,513.97x = 51,738.08 × 11,124
  4. Step 4: Simplify right side
    34,513.97x = 575,534,346.30
  5. Step 5: Solve for x
    x = 575,534,346.30/34,513.97
  6. Step 6: Final answer
    x = 16,675.41

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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.