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Finding the Fourth Proportional to 54,224.16, 74,876.04 and 34,114.56

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Solution

The fourth proportional to 54,224.16, 74,876.04 and 34,114.56 is: 47,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,224.16 : 74,876.04 = 34,114.56 : x
  2. Step 2: Convert to fraction form
    54,224.16/74,876.04 = 34,114.56/x
  3. Step 3: Cross multiply
    54,224.16x = 74,876.04 × 34,114.56
  4. Step 4: Simplify right side
    54,224.16x = 2,554,363,159.14
  5. Step 5: Solve for x
    x = 2,554,363,159.14/54,224.16
  6. Step 6: Final answer
    x = 47,107.47

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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.