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Finding the Fourth Proportional to 31,596.36, 47,392.92 and 11,873.40

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Solution

The fourth proportional to 31,596.36, 47,392.92 and 11,873.40 is: 17,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.36 : 47,392.92 = 11,873.40 : x
  2. Step 2: Convert to fraction form
    31,596.36/47,392.92 = 11,873.40/x
  3. Step 3: Cross multiply
    31,596.36x = 47,392.92 × 11,873.40
  4. Step 4: Simplify right side
    31,596.36x = 562,715,096.33
  5. Step 5: Solve for x
    x = 562,715,096.33/31,596.36
  6. Step 6: Final answer
    x = 17,809.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.