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Finding the Fourth Proportional to 29,836, 44,754.16 and 7,948

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Solution

The fourth proportional to 29,836, 44,754.16 and 7,948 is: 11,922.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,836 : 44,754.16 = 7,948 : x
  2. Step 2: Convert to fraction form
    29,836/44,754.16 = 7,948/x
  3. Step 3: Cross multiply
    29,836x = 44,754.16 × 7,948
  4. Step 4: Simplify right side
    29,836x = 355,706,063.68
  5. Step 5: Solve for x
    x = 355,706,063.68/29,836
  6. Step 6: Final answer
    x = 11,922.04

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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.