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Finding the Fourth Proportional to 30,223, 45,336.12 and 9,448.12

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Solution

The fourth proportional to 30,223, 45,336.12 and 9,448.12 is: 14,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223 : 45,336.12 = 9,448.12 : x
  2. Step 2: Convert to fraction form
    30,223/45,336.12 = 9,448.12/x
  3. Step 3: Cross multiply
    30,223x = 45,336.12 × 9,448.12
  4. Step 4: Simplify right side
    30,223x = 428,341,102.09
  5. Step 5: Solve for x
    x = 428,341,102.09/30,223
  6. Step 6: Final answer
    x = 14,172.69

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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.