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Finding the Fourth Proportional to 81,410.26, 112,349.61 and 47,413.27

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Solution

The fourth proportional to 81,410.26, 112,349.61 and 47,413.27 is: 65,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,410.26 : 112,349.61 = 47,413.27 : x
  2. Step 2: Convert to fraction form
    81,410.26/112,349.61 = 47,413.27/x
  3. Step 3: Cross multiply
    81,410.26x = 112,349.61 × 47,413.27
  4. Step 4: Simplify right side
    81,410.26x = 5,326,862,393.32
  5. Step 5: Solve for x
    x = 5,326,862,393.32/81,410.26
  6. Step 6: Final answer
    x = 65,432.32

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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.