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Finding the Fourth Proportional to 91,879.74, 137,732.13 and 29,506.50

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Solution

The fourth proportional to 91,879.74, 137,732.13 and 29,506.50 is: 44,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,879.74 : 137,732.13 = 29,506.50 : x
  2. Step 2: Convert to fraction form
    91,879.74/137,732.13 = 29,506.50/x
  3. Step 3: Cross multiply
    91,879.74x = 137,732.13 × 29,506.50
  4. Step 4: Simplify right side
    91,879.74x = 4,063,993,093.85
  5. Step 5: Solve for x
    x = 4,063,993,093.85/91,879.74
  6. Step 6: Final answer
    x = 44,231.66

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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.