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Finding the Fourth Proportional to 31,532.64, 43,499.88 and 19,609.98

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Solution

The fourth proportional to 31,532.64, 43,499.88 and 19,609.98 is: 27,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,532.64 : 43,499.88 = 19,609.98 : x
  2. Step 2: Convert to fraction form
    31,532.64/43,499.88 = 19,609.98/x
  3. Step 3: Cross multiply
    31,532.64x = 43,499.88 × 19,609.98
  4. Step 4: Simplify right side
    31,532.64x = 853,031,776.80
  5. Step 5: Solve for x
    x = 853,031,776.80/31,532.64
  6. Step 6: Final answer
    x = 27,052.34

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