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Finding the Fourth Proportional to 32,802.32, 49,198.22 and 11,738.45

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Solution

The fourth proportional to 32,802.32, 49,198.22 and 11,738.45 is: 17,605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,802.32 : 49,198.22 = 11,738.45 : x
  2. Step 2: Convert to fraction form
    32,802.32/49,198.22 = 11,738.45/x
  3. Step 3: Cross multiply
    32,802.32x = 49,198.22 × 11,738.45
  4. Step 4: Simplify right side
    32,802.32x = 577,510,786.87
  5. Step 5: Solve for x
    x = 577,510,786.87/32,802.32
  6. Step 6: Final answer
    x = 17,605.79

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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.