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Finding the Fourth Proportional to 31,770.42, 43,843.10 and 17,430.32

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Solution

The fourth proportional to 31,770.42, 43,843.10 and 17,430.32 is: 24,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770.42 : 43,843.10 = 17,430.32 : x
  2. Step 2: Convert to fraction form
    31,770.42/43,843.10 = 17,430.32/x
  3. Step 3: Cross multiply
    31,770.42x = 43,843.10 × 17,430.32
  4. Step 4: Simplify right side
    31,770.42x = 764,199,262.79
  5. Step 5: Solve for x
    x = 764,199,262.79/31,770.42
  6. Step 6: Final answer
    x = 24,053.80

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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.