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Finding the Fourth Proportional to 74,858, 103,304.24 and 41,324

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Solution

The fourth proportional to 74,858, 103,304.24 and 41,324 is: 57,027.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,858 : 103,304.24 = 41,324 : x
  2. Step 2: Convert to fraction form
    74,858/103,304.24 = 41,324/x
  3. Step 3: Cross multiply
    74,858x = 103,304.24 × 41,324
  4. Step 4: Simplify right side
    74,858x = 4,268,944,413.76
  5. Step 5: Solve for x
    x = 4,268,944,413.76/74,858
  6. Step 6: Final answer
    x = 57,027.23

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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.