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Finding the Fourth Proportional to 31,847, 43,948.92 and 17,703.20

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Solution

The fourth proportional to 31,847, 43,948.92 and 17,703.20 is: 24,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,847 : 43,948.92 = 17,703.20 : x
  2. Step 2: Convert to fraction form
    31,847/43,948.92 = 17,703.20/x
  3. Step 3: Cross multiply
    31,847x = 43,948.92 × 17,703.20
  4. Step 4: Simplify right side
    31,847x = 778,036,520.54
  5. Step 5: Solve for x
    x = 778,036,520.54/31,847
  6. Step 6: Final answer
    x = 24,430.45

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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.