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Finding the Fourth Proportional to 38,822.25, 53,574.72 and 22,055.25

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Solution

The fourth proportional to 38,822.25, 53,574.72 and 22,055.25 is: 30,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,822.25 : 53,574.72 = 22,055.25 : x
  2. Step 2: Convert to fraction form
    38,822.25/53,574.72 = 22,055.25/x
  3. Step 3: Cross multiply
    38,822.25x = 53,574.72 × 22,055.25
  4. Step 4: Simplify right side
    38,822.25x = 1,181,603,843.28
  5. Step 5: Solve for x
    x = 1,181,603,843.28/38,822.25
  6. Step 6: Final answer
    x = 30,436.25

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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.