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Finding the Fourth Proportional to 57,664.30, 85,923.23 and 51,376

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Solution

The fourth proportional to 57,664.30, 85,923.23 and 51,376 is: 76,553.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,664.30 : 85,923.23 = 51,376 : x
  2. Step 2: Convert to fraction form
    57,664.30/85,923.23 = 51,376/x
  3. Step 3: Cross multiply
    57,664.30x = 85,923.23 × 51,376
  4. Step 4: Simplify right side
    57,664.30x = 4,414,391,864.48
  5. Step 5: Solve for x
    x = 4,414,391,864.48/57,664.30
  6. Step 6: Final answer
    x = 76,553.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.