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Finding the Fourth Proportional to 74,208.96, 102,413.40 and 41,932.40

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Solution

The fourth proportional to 74,208.96, 102,413.40 and 41,932.40 is: 57,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,208.96 : 102,413.40 = 41,932.40 : x
  2. Step 2: Convert to fraction form
    74,208.96/102,413.40 = 41,932.40/x
  3. Step 3: Cross multiply
    74,208.96x = 102,413.40 × 41,932.40
  4. Step 4: Simplify right side
    74,208.96x = 4,294,439,654.16
  5. Step 5: Solve for x
    x = 4,294,439,654.16/74,208.96
  6. Step 6: Final answer
    x = 57,869.56

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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.