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Finding the Fourth Proportional to 29,556.84, 44,318.78 and 9,824.84

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Solution

The fourth proportional to 29,556.84, 44,318.78 and 9,824.84 is: 14,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,556.84 : 44,318.78 = 9,824.84 : x
  2. Step 2: Convert to fraction form
    29,556.84/44,318.78 = 9,824.84/x
  3. Step 3: Cross multiply
    29,556.84x = 44,318.78 × 9,824.84
  4. Step 4: Simplify right side
    29,556.84x = 435,424,922.50
  5. Step 5: Solve for x
    x = 435,424,922.50/29,556.84
  6. Step 6: Final answer
    x = 14,731.78

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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.