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Finding the Fourth Proportional to 32,857.82, 49,321.80 and 14,147.12

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Solution

The fourth proportional to 32,857.82, 49,321.80 and 14,147.12 is: 21,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,857.82 : 49,321.80 = 14,147.12 : x
  2. Step 2: Convert to fraction form
    32,857.82/49,321.80 = 14,147.12/x
  3. Step 3: Cross multiply
    32,857.82x = 49,321.80 × 14,147.12
  4. Step 4: Simplify right side
    32,857.82x = 697,761,423.22
  5. Step 5: Solve for x
    x = 697,761,423.22/32,857.82
  6. Step 6: Final answer
    x = 21,235.78

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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.