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Finding the Fourth Proportional to 47,413.33, 65,443.43 and 29,497.65

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Solution

The fourth proportional to 47,413.33, 65,443.43 and 29,497.65 is: 40,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,413.33 : 65,443.43 = 29,497.65 : x
  2. Step 2: Convert to fraction form
    47,413.33/65,443.43 = 29,497.65/x
  3. Step 3: Cross multiply
    47,413.33x = 65,443.43 × 29,497.65
  4. Step 4: Simplify right side
    47,413.33x = 1,930,427,392.94
  5. Step 5: Solve for x
    x = 1,930,427,392.94/47,413.33
  6. Step 6: Final answer
    x = 40,714.87

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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.