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Finding the Fourth Proportional to 31,532, 43,514.48 and 17,385.35

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Solution

The fourth proportional to 31,532, 43,514.48 and 17,385.35 is: 23,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,532 : 43,514.48 = 17,385.35 : x
  2. Step 2: Convert to fraction form
    31,532/43,514.48 = 17,385.35/x
  3. Step 3: Cross multiply
    31,532x = 43,514.48 × 17,385.35
  4. Step 4: Simplify right side
    31,532x = 756,514,464.87
  5. Step 5: Solve for x
    x = 756,514,464.87/31,532
  6. Step 6: Final answer
    x = 23,991.96

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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.