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Finding the Fourth Proportional to 54,146.63, 74,720.16 and 29,946

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Solution

The fourth proportional to 54,146.63, 74,720.16 and 29,946 is: 41,324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,146.63 : 74,720.16 = 29,946 : x
  2. Step 2: Convert to fraction form
    54,146.63/74,720.16 = 29,946/x
  3. Step 3: Cross multiply
    54,146.63x = 74,720.16 × 29,946
  4. Step 4: Simplify right side
    54,146.63x = 2,237,569,911.36
  5. Step 5: Solve for x
    x = 2,237,569,911.36/54,146.63
  6. Step 6: Final answer
    x = 41,324.27

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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.