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Finding the Fourth Proportional to 31,354.72, 43,270 and 17,207.36

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Solution

The fourth proportional to 31,354.72, 43,270 and 17,207.36 is: 23,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,354.72 : 43,270 = 17,207.36 : x
  2. Step 2: Convert to fraction form
    31,354.72/43,270 = 17,207.36/x
  3. Step 3: Cross multiply
    31,354.72x = 43,270 × 17,207.36
  4. Step 4: Simplify right side
    31,354.72x = 744,562,467.20
  5. Step 5: Solve for x
    x = 744,562,467.20/31,354.72
  6. Step 6: Final answer
    x = 23,746.42

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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.