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Finding the Fourth Proportional to 31,012.61, 46,518.82 and 8,523.32

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Solution

The fourth proportional to 31,012.61, 46,518.82 and 8,523.32 is: 12,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.61 : 46,518.82 = 8,523.32 : x
  2. Step 2: Convert to fraction form
    31,012.61/46,518.82 = 8,523.32/x
  3. Step 3: Cross multiply
    31,012.61x = 46,518.82 × 8,523.32
  4. Step 4: Simplify right side
    31,012.61x = 396,494,883.87
  5. Step 5: Solve for x
    x = 396,494,883.87/31,012.61
  6. Step 6: Final answer
    x = 12,784.96

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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.