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Finding the Fourth Proportional to 32,450.49, 48,675.74 and 13,725.68

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Solution

The fourth proportional to 32,450.49, 48,675.74 and 13,725.68 is: 20,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,450.49 : 48,675.74 = 13,725.68 : x
  2. Step 2: Convert to fraction form
    32,450.49/48,675.74 = 13,725.68/x
  3. Step 3: Cross multiply
    32,450.49x = 48,675.74 × 13,725.68
  4. Step 4: Simplify right side
    32,450.49x = 668,107,421.94
  5. Step 5: Solve for x
    x = 668,107,421.94/32,450.49
  6. Step 6: Final answer
    x = 20,588.51

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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.