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Finding the Fourth Proportional to 31,413.78, 43,354.53 and 17,986.50

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Solution

The fourth proportional to 31,413.78, 43,354.53 and 17,986.50 is: 24,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,413.78 : 43,354.53 = 17,986.50 : x
  2. Step 2: Convert to fraction form
    31,413.78/43,354.53 = 17,986.50/x
  3. Step 3: Cross multiply
    31,413.78x = 43,354.53 × 17,986.50
  4. Step 4: Simplify right side
    31,413.78x = 779,796,253.85
  5. Step 5: Solve for x
    x = 779,796,253.85/31,413.78
  6. Step 6: Final answer
    x = 24,823.38

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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.