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Finding the Fourth Proportional to 33,298, 45,954.16 and 18,396.88

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Solution

The fourth proportional to 33,298, 45,954.16 and 18,396.88 is: 25,389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,298 : 45,954.16 = 18,396.88 : x
  2. Step 2: Convert to fraction form
    33,298/45,954.16 = 18,396.88/x
  3. Step 3: Cross multiply
    33,298x = 45,954.16 × 18,396.88
  4. Step 4: Simplify right side
    33,298x = 845,413,167.02
  5. Step 5: Solve for x
    x = 845,413,167.02/33,298
  6. Step 6: Final answer
    x = 25,389.31

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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.