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Finding the Fourth Proportional to 31,788.57, 47,677.46 and 8,417.37

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Solution

The fourth proportional to 31,788.57, 47,677.46 and 8,417.37 is: 12,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788.57 : 47,677.46 = 8,417.37 : x
  2. Step 2: Convert to fraction form
    31,788.57/47,677.46 = 8,417.37/x
  3. Step 3: Cross multiply
    31,788.57x = 47,677.46 × 8,417.37
  4. Step 4: Simplify right side
    31,788.57x = 401,318,779.39
  5. Step 5: Solve for x
    x = 401,318,779.39/31,788.57
  6. Step 6: Final answer
    x = 12,624.63

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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.