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Finding the Fourth Proportional to 54,301.81, 74,938.52 and 30,427.60

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Solution

The fourth proportional to 54,301.81, 74,938.52 and 30,427.60 is: 41,991.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,301.81 : 74,938.52 = 30,427.60 : x
  2. Step 2: Convert to fraction form
    54,301.81/74,938.52 = 30,427.60/x
  3. Step 3: Cross multiply
    54,301.81x = 74,938.52 × 30,427.60
  4. Step 4: Simplify right side
    54,301.81x = 2,280,199,199.87
  5. Step 5: Solve for x
    x = 2,280,199,199.87/54,301.81
  6. Step 6: Final answer
    x = 41,991.22

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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.