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Finding the Fourth Proportional to 31,594.72, 47,358.78 and 10,529.14

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Solution

The fourth proportional to 31,594.72, 47,358.78 and 10,529.14 is: 15,782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,594.72 : 47,358.78 = 10,529.14 : x
  2. Step 2: Convert to fraction form
    31,594.72/47,358.78 = 10,529.14/x
  3. Step 3: Cross multiply
    31,594.72x = 47,358.78 × 10,529.14
  4. Step 4: Simplify right side
    31,594.72x = 498,647,224.85
  5. Step 5: Solve for x
    x = 498,647,224.85/31,594.72
  6. Step 6: Final answer
    x = 15,782.61

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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.