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Finding the Fourth Proportional to 29,897.36, 44,850.96 and 9,116

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Solution

The fourth proportional to 29,897.36, 44,850.96 and 9,116 is: 13,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,897.36 : 44,850.96 = 9,116 : x
  2. Step 2: Convert to fraction form
    29,897.36/44,850.96 = 9,116/x
  3. Step 3: Cross multiply
    29,897.36x = 44,850.96 × 9,116
  4. Step 4: Simplify right side
    29,897.36x = 408,861,351.36
  5. Step 5: Solve for x
    x = 408,861,351.36/29,897.36
  6. Step 6: Final answer
    x = 13,675.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.