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Finding the Fourth Proportional to 30,644.25, 45,933.70 and 17,468.25

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Solution

The fourth proportional to 30,644.25, 45,933.70 and 17,468.25 is: 26,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,644.25 : 45,933.70 = 17,468.25 : x
  2. Step 2: Convert to fraction form
    30,644.25/45,933.70 = 17,468.25/x
  3. Step 3: Cross multiply
    30,644.25x = 45,933.70 × 17,468.25
  4. Step 4: Simplify right side
    30,644.25x = 802,381,355.03
  5. Step 5: Solve for x
    x = 802,381,355.03/30,644.25
  6. Step 6: Final answer
    x = 26,183.75

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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.