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Finding the Fourth Proportional to 31,352.63, 47,028.94 and 10,576.13

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Solution

The fourth proportional to 31,352.63, 47,028.94 and 10,576.13 is: 15,864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,352.63 : 47,028.94 = 10,576.13 : x
  2. Step 2: Convert to fraction form
    31,352.63/47,028.94 = 10,576.13/x
  3. Step 3: Cross multiply
    31,352.63x = 47,028.94 × 10,576.13
  4. Step 4: Simplify right side
    31,352.63x = 497,383,921.62
  5. Step 5: Solve for x
    x = 497,383,921.62/31,352.63
  6. Step 6: Final answer
    x = 15,864.19

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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.