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Finding the Fourth Proportional to 31,662.12, 47,514.80 and 16,881.42

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Solution

The fourth proportional to 31,662.12, 47,514.80 and 16,881.42 is: 25,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,662.12 : 47,514.80 = 16,881.42 : x
  2. Step 2: Convert to fraction form
    31,662.12/47,514.80 = 16,881.42/x
  3. Step 3: Cross multiply
    31,662.12x = 47,514.80 × 16,881.42
  4. Step 4: Simplify right side
    31,662.12x = 802,117,174.71
  5. Step 5: Solve for x
    x = 802,117,174.71/31,662.12
  6. Step 6: Final answer
    x = 25,333.65

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