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Finding the Fourth Proportional to 30,242.25, 41,734.31 and 16,994.25

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Solution

The fourth proportional to 30,242.25, 41,734.31 and 16,994.25 is: 23,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,242.25 : 41,734.31 = 16,994.25 : x
  2. Step 2: Convert to fraction form
    30,242.25/41,734.31 = 16,994.25/x
  3. Step 3: Cross multiply
    30,242.25x = 41,734.31 × 16,994.25
  4. Step 4: Simplify right side
    30,242.25x = 709,243,212.75
  5. Step 5: Solve for x
    x = 709,243,212.75/30,242.25
  6. Step 6: Final answer
    x = 23,452.07

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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.