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Finding the Fourth Proportional to 29,879.74, 44,827.42 and 11,159.93

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Solution

The fourth proportional to 29,879.74, 44,827.42 and 11,159.93 is: 16,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,879.74 : 44,827.42 = 11,159.93 : x
  2. Step 2: Convert to fraction form
    29,879.74/44,827.42 = 11,159.93/x
  3. Step 3: Cross multiply
    29,879.74x = 44,827.42 × 11,159.93
  4. Step 4: Simplify right side
    29,879.74x = 500,270,974.37
  5. Step 5: Solve for x
    x = 500,270,974.37/29,879.74
  6. Step 6: Final answer
    x = 16,742.81

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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.