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Finding the Fourth Proportional to 31,522.47, 47,285.33 and 8,149.11

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Solution

The fourth proportional to 31,522.47, 47,285.33 and 8,149.11 is: 12,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,522.47 : 47,285.33 = 8,149.11 : x
  2. Step 2: Convert to fraction form
    31,522.47/47,285.33 = 8,149.11/x
  3. Step 3: Cross multiply
    31,522.47x = 47,285.33 × 8,149.11
  4. Step 4: Simplify right side
    31,522.47x = 385,333,314.81
  5. Step 5: Solve for x
    x = 385,333,314.81/31,522.47
  6. Step 6: Final answer
    x = 12,224.08

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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.