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Finding the Fourth Proportional to 29,124, 43,674.90 and 10,400.54

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Solution

The fourth proportional to 29,124, 43,674.90 and 10,400.54 is: 15,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,124 : 43,674.90 = 10,400.54 : x
  2. Step 2: Convert to fraction form
    29,124/43,674.90 = 10,400.54/x
  3. Step 3: Cross multiply
    29,124x = 43,674.90 × 10,400.54
  4. Step 4: Simplify right side
    29,124x = 454,242,544.45
  5. Step 5: Solve for x
    x = 454,242,544.45/29,124
  6. Step 6: Final answer
    x = 15,596.85

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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.