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Finding the Fourth Proportional to 54,254.84, 74,868 and 30,383.60

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Solution

The fourth proportional to 54,254.84, 74,868 and 30,383.60 is: 41,927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,254.84 : 74,868 = 30,383.60 : x
  2. Step 2: Convert to fraction form
    54,254.84/74,868 = 30,383.60/x
  3. Step 3: Cross multiply
    54,254.84x = 74,868 × 30,383.60
  4. Step 4: Simplify right side
    54,254.84x = 2,274,759,364.80
  5. Step 5: Solve for x
    x = 2,274,759,364.80/54,254.84
  6. Step 6: Final answer
    x = 41,927.31

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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.