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Finding the Fourth Proportional to 31,231.57, 46,840.57 and 9,885.94

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Solution

The fourth proportional to 31,231.57, 46,840.57 and 9,885.94 is: 14,826.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,231.57 : 46,840.57 = 9,885.94 : x
  2. Step 2: Convert to fraction form
    31,231.57/46,840.57 = 9,885.94/x
  3. Step 3: Cross multiply
    31,231.57x = 46,840.57 × 9,885.94
  4. Step 4: Simplify right side
    31,231.57x = 463,063,064.59
  5. Step 5: Solve for x
    x = 463,063,064.59/31,231.57
  6. Step 6: Final answer
    x = 14,826.76

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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.