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Finding the Fourth Proportional to 31,560.42, 43,553.52 and 17,413.32

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Solution

The fourth proportional to 31,560.42, 43,553.52 and 17,413.32 is: 24,030.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,560.42 : 43,553.52 = 17,413.32 : x
  2. Step 2: Convert to fraction form
    31,560.42/43,553.52 = 17,413.32/x
  3. Step 3: Cross multiply
    31,560.42x = 43,553.52 × 17,413.32
  4. Step 4: Simplify right side
    31,560.42x = 758,411,380.89
  5. Step 5: Solve for x
    x = 758,411,380.89/31,560.42
  6. Step 6: Final answer
    x = 24,030.46

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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.