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Finding the Fourth Proportional to 31,522.60, 47,280.06 and 8,150.68

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Solution

The fourth proportional to 31,522.60, 47,280.06 and 8,150.68 is: 12,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,522.60 : 47,280.06 = 8,150.68 : x
  2. Step 2: Convert to fraction form
    31,522.60/47,280.06 = 8,150.68/x
  3. Step 3: Cross multiply
    31,522.60x = 47,280.06 × 8,150.68
  4. Step 4: Simplify right side
    31,522.60x = 385,364,639.44
  5. Step 5: Solve for x
    x = 385,364,639.44/31,522.60
  6. Step 6: Final answer
    x = 12,225.03

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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.