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Finding the Fourth Proportional to 81,383, 122,075.26 and 28,801.40

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Solution

The fourth proportional to 81,383, 122,075.26 and 28,801.40 is: 43,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,383 : 122,075.26 = 28,801.40 : x
  2. Step 2: Convert to fraction form
    81,383/122,075.26 = 28,801.40/x
  3. Step 3: Cross multiply
    81,383x = 122,075.26 × 28,801.40
  4. Step 4: Simplify right side
    81,383x = 3,515,938,393.36
  5. Step 5: Solve for x
    x = 3,515,938,393.36/81,383
  6. Step 6: Final answer
    x = 43,202.37

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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.