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Finding the Fourth Proportional to 51,288.72, 76,941.72 and 23,586

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Solution

The fourth proportional to 51,288.72, 76,941.72 and 23,586 is: 35,382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,288.72 : 76,941.72 = 23,586 : x
  2. Step 2: Convert to fraction form
    51,288.72/76,941.72 = 23,586/x
  3. Step 3: Cross multiply
    51,288.72x = 76,941.72 × 23,586
  4. Step 4: Simplify right side
    51,288.72x = 1,814,747,407.92
  5. Step 5: Solve for x
    x = 1,814,747,407.92/51,288.72
  6. Step 6: Final answer
    x = 35,382.97

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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.