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Finding the Fourth Proportional to 32,851.34, 49,279.76 and 14,131.84

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Solution

The fourth proportional to 32,851.34, 49,279.76 and 14,131.84 is: 21,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,851.34 : 49,279.76 = 14,131.84 : x
  2. Step 2: Convert to fraction form
    32,851.34/49,279.76 = 14,131.84/x
  3. Step 3: Cross multiply
    32,851.34x = 49,279.76 × 14,131.84
  4. Step 4: Simplify right side
    32,851.34x = 696,413,683.56
  5. Step 5: Solve for x
    x = 696,413,683.56/32,851.34
  6. Step 6: Final answer
    x = 21,198.94

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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.