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Finding the Fourth Proportional to 31,802, 47,676.92 and 14,020.06

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Solution

The fourth proportional to 31,802, 47,676.92 and 14,020.06 is: 21,018.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802 : 47,676.92 = 14,020.06 : x
  2. Step 2: Convert to fraction form
    31,802/47,676.92 = 14,020.06/x
  3. Step 3: Cross multiply
    31,802x = 47,676.92 × 14,020.06
  4. Step 4: Simplify right side
    31,802x = 668,433,279.02
  5. Step 5: Solve for x
    x = 668,433,279.02/31,802
  6. Step 6: Final answer
    x = 21,018.59

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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.