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Finding the Fourth Proportional to 34,382.76, 47,463.76 and 21,654.65

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Solution

The fourth proportional to 34,382.76, 47,463.76 and 21,654.65 is: 29,893.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,382.76 : 47,463.76 = 21,654.65 : x
  2. Step 2: Convert to fraction form
    34,382.76/47,463.76 = 21,654.65/x
  3. Step 3: Cross multiply
    34,382.76x = 47,463.76 × 21,654.65
  4. Step 4: Simplify right side
    34,382.76x = 1,027,811,175.01
  5. Step 5: Solve for x
    x = 1,027,811,175.01/34,382.76
  6. Step 6: Final answer
    x = 29,893.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.