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Finding the Fourth Proportional to 38,836.40, 53,594.88 and 21,844.22

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Solution

The fourth proportional to 38,836.40, 53,594.88 and 21,844.22 is: 30,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,836.40 : 53,594.88 = 21,844.22 : x
  2. Step 2: Convert to fraction form
    38,836.40/53,594.88 = 21,844.22/x
  3. Step 3: Cross multiply
    38,836.40x = 53,594.88 × 21,844.22
  4. Step 4: Simplify right side
    38,836.40x = 1,170,738,349.59
  5. Step 5: Solve for x
    x = 1,170,738,349.59/38,836.40
  6. Step 6: Final answer
    x = 30,145.39

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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.