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Finding the Fourth Proportional to 39,419.54, 59,146.92 and 21,413.24

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Solution

The fourth proportional to 39,419.54, 59,146.92 and 21,413.24 is: 32,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,419.54 : 59,146.92 = 21,413.24 : x
  2. Step 2: Convert to fraction form
    39,419.54/59,146.92 = 21,413.24/x
  3. Step 3: Cross multiply
    39,419.54x = 59,146.92 × 21,413.24
  4. Step 4: Simplify right side
    39,419.54x = 1,266,527,193.22
  5. Step 5: Solve for x
    x = 1,266,527,193.22/39,419.54
  6. Step 6: Final answer
    x = 32,129.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.