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Finding the Fourth Proportional to 54,207, 74,794.92 and 30,329.04

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Solution

The fourth proportional to 54,207, 74,794.92 and 30,329.04 is: 41,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,207 : 74,794.92 = 30,329.04 : x
  2. Step 2: Convert to fraction form
    54,207/74,794.92 = 30,329.04/x
  3. Step 3: Cross multiply
    54,207x = 74,794.92 × 30,329.04
  4. Step 4: Simplify right side
    54,207x = 2,268,458,120.48
  5. Step 5: Solve for x
    x = 2,268,458,120.48/54,207
  6. Step 6: Final answer
    x = 41,848.07

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Why These Related Problems?

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