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Finding the Fourth Proportional to 47,413.38, 65,443.46 and 29,497.67

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Solution

The fourth proportional to 47,413.38, 65,443.46 and 29,497.67 is: 40,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,413.38 : 65,443.46 = 29,497.67 : x
  2. Step 2: Convert to fraction form
    47,413.38/65,443.46 = 29,497.67/x
  3. Step 3: Cross multiply
    47,413.38x = 65,443.46 × 29,497.67
  4. Step 4: Simplify right side
    47,413.38x = 1,930,429,112.03
  5. Step 5: Solve for x
    x = 1,930,429,112.03/47,413.38
  6. Step 6: Final answer
    x = 40,714.86

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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.