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Finding the Fourth Proportional to 29,495.07, 44,245.44 and 9,774

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Solution

The fourth proportional to 29,495.07, 44,245.44 and 9,774 is: 14,661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,495.07 : 44,245.44 = 9,774 : x
  2. Step 2: Convert to fraction form
    29,495.07/44,245.44 = 9,774/x
  3. Step 3: Cross multiply
    29,495.07x = 44,245.44 × 9,774
  4. Step 4: Simplify right side
    29,495.07x = 432,454,930.56
  5. Step 5: Solve for x
    x = 432,454,930.56/29,495.07
  6. Step 6: Final answer
    x = 14,661.94

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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.