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Finding the Fourth Proportional to 39,591, 54,633.98 and 23,684.24

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Solution

The fourth proportional to 39,591, 54,633.98 and 23,684.24 is: 32,683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,591 : 54,633.98 = 23,684.24 : x
  2. Step 2: Convert to fraction form
    39,591/54,633.98 = 23,684.24/x
  3. Step 3: Cross multiply
    39,591x = 54,633.98 × 23,684.24
  4. Step 4: Simplify right side
    39,591x = 1,293,964,294.48
  5. Step 5: Solve for x
    x = 1,293,964,294.48/39,591
  6. Step 6: Final answer
    x = 32,683.29

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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.