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Finding the Fourth Proportional to 30,396.84, 41,965.08 and 23,170.02

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Solution

The fourth proportional to 30,396.84, 41,965.08 and 23,170.02 is: 31,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,396.84 : 41,965.08 = 23,170.02 : x
  2. Step 2: Convert to fraction form
    30,396.84/41,965.08 = 23,170.02/x
  3. Step 3: Cross multiply
    30,396.84x = 41,965.08 × 23,170.02
  4. Step 4: Simplify right side
    30,396.84x = 972,331,742.90
  5. Step 5: Solve for x
    x = 972,331,742.90/30,396.84
  6. Step 6: Final answer
    x = 31,987.92

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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.