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Finding the Fourth Proportional to 30,244.50, 41,738.80 and 16,817.12

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Solution

The fourth proportional to 30,244.50, 41,738.80 and 16,817.12 is: 23,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,244.50 : 41,738.80 = 16,817.12 : x
  2. Step 2: Convert to fraction form
    30,244.50/41,738.80 = 16,817.12/x
  3. Step 3: Cross multiply
    30,244.50x = 41,738.80 × 16,817.12
  4. Step 4: Simplify right side
    30,244.50x = 701,926,408.26
  5. Step 5: Solve for x
    x = 701,926,408.26/30,244.50
  6. Step 6: Final answer
    x = 23,208.40

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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.