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Finding the Fourth Proportional to 32,991, 45,527.58 and 18,086.68

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Solution

The fourth proportional to 32,991, 45,527.58 and 18,086.68 is: 24,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,991 : 45,527.58 = 18,086.68 : x
  2. Step 2: Convert to fraction form
    32,991/45,527.58 = 18,086.68/x
  3. Step 3: Cross multiply
    32,991x = 45,527.58 × 18,086.68
  4. Step 4: Simplify right side
    32,991x = 823,442,770.63
  5. Step 5: Solve for x
    x = 823,442,770.63/32,991
  6. Step 6: Final answer
    x = 24,959.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.