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Finding the Fourth Proportional to 31,590.16, 47,413.92 and 16,811.44

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Solution

The fourth proportional to 31,590.16, 47,413.92 and 16,811.44 is: 25,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590.16 : 47,413.92 = 16,811.44 : x
  2. Step 2: Convert to fraction form
    31,590.16/47,413.92 = 16,811.44/x
  3. Step 3: Cross multiply
    31,590.16x = 47,413.92 × 16,811.44
  4. Step 4: Simplify right side
    31,590.16x = 797,096,271.24
  5. Step 5: Solve for x
    x = 797,096,271.24/31,590.16
  6. Step 6: Final answer
    x = 25,232.42

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Why These Related Problems?

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