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Finding the Fourth Proportional to 31,609.72, 43,630.10 and 19,665.93

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Solution

The fourth proportional to 31,609.72, 43,630.10 and 19,665.93 is: 27,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.72 : 43,630.10 = 19,665.93 : x
  2. Step 2: Convert to fraction form
    31,609.72/43,630.10 = 19,665.93/x
  3. Step 3: Cross multiply
    31,609.72x = 43,630.10 × 19,665.93
  4. Step 4: Simplify right side
    31,609.72x = 858,026,492.49
  5. Step 5: Solve for x
    x = 858,026,492.49/31,609.72
  6. Step 6: Final answer
    x = 27,144.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.