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Finding the Fourth Proportional to 29,879.12, 44,825.44 and 9,101

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Solution

The fourth proportional to 29,879.12, 44,825.44 and 9,101 is: 13,653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,879.12 : 44,825.44 = 9,101 : x
  2. Step 2: Convert to fraction form
    29,879.12/44,825.44 = 9,101/x
  3. Step 3: Cross multiply
    29,879.12x = 44,825.44 × 9,101
  4. Step 4: Simplify right side
    29,879.12x = 407,956,329.44
  5. Step 5: Solve for x
    x = 407,956,329.44/29,879.12
  6. Step 6: Final answer
    x = 13,653.56

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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.