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Finding the Fourth Proportional to 30,183.54, 45,275.28 and 11,463.54

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Solution

The fourth proportional to 30,183.54, 45,275.28 and 11,463.54 is: 17,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,183.54 : 45,275.28 = 11,463.54 : x
  2. Step 2: Convert to fraction form
    30,183.54/45,275.28 = 11,463.54/x
  3. Step 3: Cross multiply
    30,183.54x = 45,275.28 × 11,463.54
  4. Step 4: Simplify right side
    30,183.54x = 519,015,039.16
  5. Step 5: Solve for x
    x = 519,015,039.16/30,183.54
  6. Step 6: Final answer
    x = 17,195.30

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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.