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Finding the Fourth Proportional to 34,507.70, 51,827.16 and 21,451.31

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Solution

The fourth proportional to 34,507.70, 51,827.16 and 21,451.31 is: 32,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,507.70 : 51,827.16 = 21,451.31 : x
  2. Step 2: Convert to fraction form
    34,507.70/51,827.16 = 21,451.31/x
  3. Step 3: Cross multiply
    34,507.70x = 51,827.16 × 21,451.31
  4. Step 4: Simplify right side
    34,507.70x = 1,111,760,685.59
  5. Step 5: Solve for x
    x = 1,111,760,685.59/34,507.70
  6. Step 6: Final answer
    x = 32,217.75

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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.