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Finding the Fourth Proportional to 31,478.58, 43,430.64 and 17,864.37

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Solution

The fourth proportional to 31,478.58, 43,430.64 and 17,864.37 is: 24,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,478.58 : 43,430.64 = 17,864.37 : x
  2. Step 2: Convert to fraction form
    31,478.58/43,430.64 = 17,864.37/x
  3. Step 3: Cross multiply
    31,478.58x = 43,430.64 × 17,864.37
  4. Step 4: Simplify right side
    31,478.58x = 775,861,022.30
  5. Step 5: Solve for x
    x = 775,861,022.30/31,478.58
  6. Step 6: Final answer
    x = 24,647.27

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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.