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Finding the Fourth Proportional to 31,000.43, 42,779.40 and 16,853.27

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Solution

The fourth proportional to 31,000.43, 42,779.40 and 16,853.27 is: 23,256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.43 : 42,779.40 = 16,853.27 : x
  2. Step 2: Convert to fraction form
    31,000.43/42,779.40 = 16,853.27/x
  3. Step 3: Cross multiply
    31,000.43x = 42,779.40 × 16,853.27
  4. Step 4: Simplify right side
    31,000.43x = 720,972,564.74
  5. Step 5: Solve for x
    x = 720,972,564.74/31,000.43
  6. Step 6: Final answer
    x = 23,256.86

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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.