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Finding the Fourth Proportional to 30,741.62, 46,134.32 and 23,728.64

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Solution

The fourth proportional to 30,741.62, 46,134.32 and 23,728.64 is: 35,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.62 : 46,134.32 = 23,728.64 : x
  2. Step 2: Convert to fraction form
    30,741.62/46,134.32 = 23,728.64/x
  3. Step 3: Cross multiply
    30,741.62x = 46,134.32 × 23,728.64
  4. Step 4: Simplify right side
    30,741.62x = 1,094,704,321.61
  5. Step 5: Solve for x
    x = 1,094,704,321.61/30,741.62
  6. Step 6: Final answer
    x = 35,609.85

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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.