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Finding the Fourth Proportional to 29,683.50, 40,963.23 and 17,112.30

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Solution

The fourth proportional to 29,683.50, 40,963.23 and 17,112.30 is: 23,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,683.50 : 40,963.23 = 17,112.30 : x
  2. Step 2: Convert to fraction form
    29,683.50/40,963.23 = 17,112.30/x
  3. Step 3: Cross multiply
    29,683.50x = 40,963.23 × 17,112.30
  4. Step 4: Simplify right side
    29,683.50x = 700,975,080.73
  5. Step 5: Solve for x
    x = 700,975,080.73/29,683.50
  6. Step 6: Final answer
    x = 23,614.97

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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.