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Finding the Fourth Proportional to 29,701.76, 44,556.73 and 9,981.83

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Solution

The fourth proportional to 29,701.76, 44,556.73 and 9,981.83 is: 14,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,701.76 : 44,556.73 = 9,981.83 : x
  2. Step 2: Convert to fraction form
    29,701.76/44,556.73 = 9,981.83/x
  3. Step 3: Cross multiply
    29,701.76x = 44,556.73 × 9,981.83
  4. Step 4: Simplify right side
    29,701.76x = 444,757,790.65
  5. Step 5: Solve for x
    x = 444,757,790.65/29,701.76
  6. Step 6: Final answer
    x = 14,974.12

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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.