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Finding the Fourth Proportional to 39,318.36, 54,257.64 and 21,413.40

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Solution

The fourth proportional to 39,318.36, 54,257.64 and 21,413.40 is: 29,549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,318.36 : 54,257.64 = 21,413.40 : x
  2. Step 2: Convert to fraction form
    39,318.36/54,257.64 = 21,413.40/x
  3. Step 3: Cross multiply
    39,318.36x = 54,257.64 × 21,413.40
  4. Step 4: Simplify right side
    39,318.36x = 1,161,840,548.38
  5. Step 5: Solve for x
    x = 1,161,840,548.38/39,318.36
  6. Step 6: Final answer
    x = 29,549.57

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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.