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Finding the Fourth Proportional to 31,627.79, 47,441.68 and 8,254.02

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Solution

The fourth proportional to 31,627.79, 47,441.68 and 8,254.02 is: 12,381.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,627.79 : 47,441.68 = 8,254.02 : x
  2. Step 2: Convert to fraction form
    31,627.79/47,441.68 = 8,254.02/x
  3. Step 3: Cross multiply
    31,627.79x = 47,441.68 × 8,254.02
  4. Step 4: Simplify right side
    31,627.79x = 391,584,554.92
  5. Step 5: Solve for x
    x = 391,584,554.92/31,627.79
  6. Step 6: Final answer
    x = 12,381.03

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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.