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Finding the Fourth Proportional to 34,288.89, 47,324.84 and 20,142.51

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Solution

The fourth proportional to 34,288.89, 47,324.84 and 20,142.51 is: 27,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,288.89 : 47,324.84 = 20,142.51 : x
  2. Step 2: Convert to fraction form
    34,288.89/47,324.84 = 20,142.51/x
  3. Step 3: Cross multiply
    34,288.89x = 47,324.84 × 20,142.51
  4. Step 4: Simplify right side
    34,288.89x = 953,240,962.24
  5. Step 5: Solve for x
    x = 953,240,962.24/34,288.89
  6. Step 6: Final answer
    x = 27,800.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.