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Finding the Fourth Proportional to 29,270.86, 43,898.46 and 8,209.72

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Solution

The fourth proportional to 29,270.86, 43,898.46 and 8,209.72 is: 12,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,270.86 : 43,898.46 = 8,209.72 : x
  2. Step 2: Convert to fraction form
    29,270.86/43,898.46 = 8,209.72/x
  3. Step 3: Cross multiply
    29,270.86x = 43,898.46 × 8,209.72
  4. Step 4: Simplify right side
    29,270.86x = 360,394,065.03
  5. Step 5: Solve for x
    x = 360,394,065.03/29,270.86
  6. Step 6: Final answer
    x = 12,312.38

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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.