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Finding the Fourth Proportional to 29,825.80, 44,737.65 and 7,639.36

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Solution

The fourth proportional to 29,825.80, 44,737.65 and 7,639.36 is: 11,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,825.80 : 44,737.65 = 7,639.36 : x
  2. Step 2: Convert to fraction form
    29,825.80/44,737.65 = 7,639.36/x
  3. Step 3: Cross multiply
    29,825.80x = 44,737.65 × 7,639.36
  4. Step 4: Simplify right side
    29,825.80x = 341,766,902.06
  5. Step 5: Solve for x
    x = 341,766,902.06/29,825.80
  6. Step 6: Final answer
    x = 11,458.77

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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.