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Finding the Fourth Proportional to 32,096.66, 48,156.38 and 14,325.71

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Solution

The fourth proportional to 32,096.66, 48,156.38 and 14,325.71 is: 21,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.66 : 48,156.38 = 14,325.71 : x
  2. Step 2: Convert to fraction form
    32,096.66/48,156.38 = 14,325.71/x
  3. Step 3: Cross multiply
    32,096.66x = 48,156.38 × 14,325.71
  4. Step 4: Simplify right side
    32,096.66x = 689,874,129.56
  5. Step 5: Solve for x
    x = 689,874,129.56/32,096.66
  6. Step 6: Final answer
    x = 21,493.65

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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.