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Finding the Fourth Proportional to 31,790.43, 47,686.56 and 8,416.89

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Solution

The fourth proportional to 31,790.43, 47,686.56 and 8,416.89 is: 12,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,790.43 : 47,686.56 = 8,416.89 : x
  2. Step 2: Convert to fraction form
    31,790.43/47,686.56 = 8,416.89/x
  3. Step 3: Cross multiply
    31,790.43x = 47,686.56 × 8,416.89
  4. Step 4: Simplify right side
    31,790.43x = 401,372,530.00
  5. Step 5: Solve for x
    x = 401,372,530.00/31,790.43
  6. Step 6: Final answer
    x = 12,625.58

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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.