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Finding the Fourth Proportional to 32,339.96, 48,497.81 and 11,274.59

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Solution

The fourth proportional to 32,339.96, 48,497.81 and 11,274.59 is: 16,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,339.96 : 48,497.81 = 11,274.59 : x
  2. Step 2: Convert to fraction form
    32,339.96/48,497.81 = 11,274.59/x
  3. Step 3: Cross multiply
    32,339.96x = 48,497.81 × 11,274.59
  4. Step 4: Simplify right side
    32,339.96x = 546,792,624.79
  5. Step 5: Solve for x
    x = 546,792,624.79/32,339.96
  6. Step 6: Final answer
    x = 16,907.65

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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.