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Finding the Fourth Proportional to 32,400.09, 44,622.72 and 27,922.23

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Solution

The fourth proportional to 32,400.09, 44,622.72 and 27,922.23 is: 38,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400.09 : 44,622.72 = 27,922.23 : x
  2. Step 2: Convert to fraction form
    32,400.09/44,622.72 = 27,922.23/x
  3. Step 3: Cross multiply
    32,400.09x = 44,622.72 × 27,922.23
  4. Step 4: Simplify right side
    32,400.09x = 1,245,965,851.07
  5. Step 5: Solve for x
    x = 1,245,965,851.07/32,400.09
  6. Step 6: Final answer
    x = 38,455.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.