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Finding the Fourth Proportional to 32,156.70, 44,378.60 and 19,413.02

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Solution

The fourth proportional to 32,156.70, 44,378.60 and 19,413.02 is: 26,791.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,156.70 : 44,378.60 = 19,413.02 : x
  2. Step 2: Convert to fraction form
    32,156.70/44,378.60 = 19,413.02/x
  3. Step 3: Cross multiply
    32,156.70x = 44,378.60 × 19,413.02
  4. Step 4: Simplify right side
    32,156.70x = 861,522,330.41
  5. Step 5: Solve for x
    x = 861,522,330.41/32,156.70
  6. Step 6: Final answer
    x = 26,791.38

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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.