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Finding the Fourth Proportional to 54,102.19, 74,664.89 and 29,902.64

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Solution

The fourth proportional to 54,102.19, 74,664.89 and 29,902.64 is: 41,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,102.19 : 74,664.89 = 29,902.64 : x
  2. Step 2: Convert to fraction form
    54,102.19/74,664.89 = 29,902.64/x
  3. Step 3: Cross multiply
    54,102.19x = 74,664.89 × 29,902.64
  4. Step 4: Simplify right side
    54,102.19x = 2,232,677,326.31
  5. Step 5: Solve for x
    x = 2,232,677,326.31/54,102.19
  6. Step 6: Final answer
    x = 41,267.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.