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Finding the Fourth Proportional to 33,980.44, 50,968.14 and 14,258.20

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Solution

The fourth proportional to 33,980.44, 50,968.14 and 14,258.20 is: 21,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,980.44 : 50,968.14 = 14,258.20 : x
  2. Step 2: Convert to fraction form
    33,980.44/50,968.14 = 14,258.20/x
  3. Step 3: Cross multiply
    33,980.44x = 50,968.14 × 14,258.20
  4. Step 4: Simplify right side
    33,980.44x = 726,713,933.75
  5. Step 5: Solve for x
    x = 726,713,933.75/33,980.44
  6. Step 6: Final answer
    x = 21,386.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.