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Finding the Fourth Proportional to 31,893.74, 47,847.50 and 9,708.86

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Solution

The fourth proportional to 31,893.74, 47,847.50 and 9,708.86 is: 14,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.74 : 47,847.50 = 9,708.86 : x
  2. Step 2: Convert to fraction form
    31,893.74/47,847.50 = 9,708.86/x
  3. Step 3: Cross multiply
    31,893.74x = 47,847.50 × 9,708.86
  4. Step 4: Simplify right side
    31,893.74x = 464,544,391.07
  5. Step 5: Solve for x
    x = 464,544,391.07/31,893.74
  6. Step 6: Final answer
    x = 14,565.38

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