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Finding the Fourth Proportional to 31,819.03, 47,728.54 and 9,632.37

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Solution

The fourth proportional to 31,819.03, 47,728.54 and 9,632.37 is: 14,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,819.03 : 47,728.54 = 9,632.37 : x
  2. Step 2: Convert to fraction form
    31,819.03/47,728.54 = 9,632.37/x
  3. Step 3: Cross multiply
    31,819.03x = 47,728.54 × 9,632.37
  4. Step 4: Simplify right side
    31,819.03x = 459,738,879.39
  5. Step 5: Solve for x
    x = 459,738,879.39/31,819.03
  6. Step 6: Final answer
    x = 14,448.55

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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.