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Finding the Fourth Proportional to 31,605.20, 43,615.80 and 17,458.64

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Solution

The fourth proportional to 31,605.20, 43,615.80 and 17,458.64 is: 24,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,605.20 : 43,615.80 = 17,458.64 : x
  2. Step 2: Convert to fraction form
    31,605.20/43,615.80 = 17,458.64/x
  3. Step 3: Cross multiply
    31,605.20x = 43,615.80 × 17,458.64
  4. Step 4: Simplify right side
    31,605.20x = 761,472,550.51
  5. Step 5: Solve for x
    x = 761,472,550.51/31,605.20
  6. Step 6: Final answer
    x = 24,093.27

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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.