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Finding the Fourth Proportional to 53,858.22, 74,327.30 and 29,984.37

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Solution

The fourth proportional to 53,858.22, 74,327.30 and 29,984.37 is: 41,380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,858.22 : 74,327.30 = 29,984.37 : x
  2. Step 2: Convert to fraction form
    53,858.22/74,327.30 = 29,984.37/x
  3. Step 3: Cross multiply
    53,858.22x = 74,327.30 × 29,984.37
  4. Step 4: Simplify right side
    53,858.22x = 2,228,657,114.38
  5. Step 5: Solve for x
    x = 2,228,657,114.38/53,858.22
  6. Step 6: Final answer
    x = 41,380.07

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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.