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Finding the Fourth Proportional to 32,837, 49,255.50 and 8,213

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Solution

The fourth proportional to 32,837, 49,255.50 and 8,213 is: 12,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,837 : 49,255.50 = 8,213 : x
  2. Step 2: Convert to fraction form
    32,837/49,255.50 = 8,213/x
  3. Step 3: Cross multiply
    32,837x = 49,255.50 × 8,213
  4. Step 4: Simplify right side
    32,837x = 404,535,421.50
  5. Step 5: Solve for x
    x = 404,535,421.50/32,837
  6. Step 6: Final answer
    x = 12,319.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.