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Finding the Fourth Proportional to 31,398.24, 47,051.26 and 15,794.40

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Solution

The fourth proportional to 31,398.24, 47,051.26 and 15,794.40 is: 23,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,398.24 : 47,051.26 = 15,794.40 : x
  2. Step 2: Convert to fraction form
    31,398.24/47,051.26 = 15,794.40/x
  3. Step 3: Cross multiply
    31,398.24x = 47,051.26 × 15,794.40
  4. Step 4: Simplify right side
    31,398.24x = 743,146,420.94
  5. Step 5: Solve for x
    x = 743,146,420.94/31,398.24
  6. Step 6: Final answer
    x = 23,668.41

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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.