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Finding the Fourth Proportional to 31,623.96, 47,467.96 and 15,840.30

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Solution

The fourth proportional to 31,623.96, 47,467.96 and 15,840.30 is: 23,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,623.96 : 47,467.96 = 15,840.30 : x
  2. Step 2: Convert to fraction form
    31,623.96/47,467.96 = 15,840.30/x
  3. Step 3: Cross multiply
    31,623.96x = 47,467.96 × 15,840.30
  4. Step 4: Simplify right side
    31,623.96x = 751,906,726.79
  5. Step 5: Solve for x
    x = 751,906,726.79/31,623.96
  6. Step 6: Final answer
    x = 23,776.49

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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.