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Finding the Fourth Proportional to 29,975.70, 41,367.81 and 17,233.01

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Solution

The fourth proportional to 29,975.70, 41,367.81 and 17,233.01 is: 23,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,975.70 : 41,367.81 = 17,233.01 : x
  2. Step 2: Convert to fraction form
    29,975.70/41,367.81 = 17,233.01/x
  3. Step 3: Cross multiply
    29,975.70x = 41,367.81 × 17,233.01
  4. Step 4: Simplify right side
    29,975.70x = 712,891,676.57
  5. Step 5: Solve for x
    x = 712,891,676.57/29,975.70
  6. Step 6: Final answer
    x = 23,782.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.