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Finding the Fourth Proportional to 51,032, 76,552.32 and 14,096

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Solution

The fourth proportional to 51,032, 76,552.32 and 14,096 is: 21,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,032 : 76,552.32 = 14,096 : x
  2. Step 2: Convert to fraction form
    51,032/76,552.32 = 14,096/x
  3. Step 3: Cross multiply
    51,032x = 76,552.32 × 14,096
  4. Step 4: Simplify right side
    51,032x = 1,079,081,502.72
  5. Step 5: Solve for x
    x = 1,079,081,502.72/51,032
  6. Step 6: Final answer
    x = 21,145.19

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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.