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Finding the Fourth Proportional to 54,197.92, 74,786.11 and 30,319.93

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Solution

The fourth proportional to 54,197.92, 74,786.11 and 30,319.93 is: 41,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,197.92 : 74,786.11 = 30,319.93 : x
  2. Step 2: Convert to fraction form
    54,197.92/74,786.11 = 30,319.93/x
  3. Step 3: Cross multiply
    54,197.92x = 74,786.11 × 30,319.93
  4. Step 4: Simplify right side
    54,197.92x = 2,267,509,620.17
  5. Step 5: Solve for x
    x = 2,267,509,620.17/54,197.92
  6. Step 6: Final answer
    x = 41,837.58

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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.