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Finding the Fourth Proportional to 32,102.69, 44,301.83 and 17,954.63

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Solution

The fourth proportional to 32,102.69, 44,301.83 and 17,954.63 is: 24,777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.69 : 44,301.83 = 17,954.63 : x
  2. Step 2: Convert to fraction form
    32,102.69/44,301.83 = 17,954.63/x
  3. Step 3: Cross multiply
    32,102.69x = 44,301.83 × 17,954.63
  4. Step 4: Simplify right side
    32,102.69x = 795,422,965.97
  5. Step 5: Solve for x
    x = 795,422,965.97/32,102.69
  6. Step 6: Final answer
    x = 24,777.46

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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.