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Finding the Fourth Proportional to 54,905.82, 75,770.02 and 29,755.32

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Solution

The fourth proportional to 54,905.82, 75,770.02 and 29,755.32 is: 41,062.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,905.82 : 75,770.02 = 29,755.32 : x
  2. Step 2: Convert to fraction form
    54,905.82/75,770.02 = 29,755.32/x
  3. Step 3: Cross multiply
    54,905.82x = 75,770.02 × 29,755.32
  4. Step 4: Simplify right side
    54,905.82x = 2,254,561,191.51
  5. Step 5: Solve for x
    x = 2,254,561,191.51/54,905.82
  6. Step 6: Final answer
    x = 41,062.34

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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.