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Finding the Fourth Proportional to 29,769, 44,653.50 and 7,881

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Solution

The fourth proportional to 29,769, 44,653.50 and 7,881 is: 11,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,769 : 44,653.50 = 7,881 : x
  2. Step 2: Convert to fraction form
    29,769/44,653.50 = 7,881/x
  3. Step 3: Cross multiply
    29,769x = 44,653.50 × 7,881
  4. Step 4: Simplify right side
    29,769x = 351,914,233.50
  5. Step 5: Solve for x
    x = 351,914,233.50/29,769
  6. Step 6: Final answer
    x = 11,821.50

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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.