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Finding the Fourth Proportional to 28,078, 38,701.44 and 19,904.32

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Solution

The fourth proportional to 28,078, 38,701.44 and 19,904.32 is: 27,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,078 : 38,701.44 = 19,904.32 : x
  2. Step 2: Convert to fraction form
    28,078/38,701.44 = 19,904.32/x
  3. Step 3: Cross multiply
    28,078x = 38,701.44 × 19,904.32
  4. Step 4: Simplify right side
    28,078x = 770,325,846.22
  5. Step 5: Solve for x
    x = 770,325,846.22/28,078
  6. Step 6: Final answer
    x = 27,435.21

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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.