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Finding the Fourth Proportional to 31,714.36, 47,495.75 and 17,639.42

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Solution

The fourth proportional to 31,714.36, 47,495.75 and 17,639.42 is: 26,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.36 : 47,495.75 = 17,639.42 : x
  2. Step 2: Convert to fraction form
    31,714.36/47,495.75 = 17,639.42/x
  3. Step 3: Cross multiply
    31,714.36x = 47,495.75 × 17,639.42
  4. Step 4: Simplify right side
    31,714.36x = 837,797,394.27
  5. Step 5: Solve for x
    x = 837,797,394.27/31,714.36
  6. Step 6: Final answer
    x = 26,416.98

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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.