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Finding the Fourth Proportional to 31,010.34, 46,512.05 and 8,522.74

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Solution

The fourth proportional to 31,010.34, 46,512.05 and 8,522.74 is: 12,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,010.34 : 46,512.05 = 8,522.74 : x
  2. Step 2: Convert to fraction form
    31,010.34/46,512.05 = 8,522.74/x
  3. Step 3: Cross multiply
    31,010.34x = 46,512.05 × 8,522.74
  4. Step 4: Simplify right side
    31,010.34x = 396,410,109.02
  5. Step 5: Solve for x
    x = 396,410,109.02/31,010.34
  6. Step 6: Final answer
    x = 12,783.16

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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.