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Finding the Fourth Proportional to 32,257.51, 48,391.94 and 14,729.11

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Solution

The fourth proportional to 32,257.51, 48,391.94 and 14,729.11 is: 22,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,257.51 : 48,391.94 = 14,729.11 : x
  2. Step 2: Convert to fraction form
    32,257.51/48,391.94 = 14,729.11/x
  3. Step 3: Cross multiply
    32,257.51x = 48,391.94 × 14,729.11
  4. Step 4: Simplify right side
    32,257.51x = 712,770,133.73
  5. Step 5: Solve for x
    x = 712,770,133.73/32,257.51
  6. Step 6: Final answer
    x = 22,096.25

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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.