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Finding the Fourth Proportional to 32,164.88, 48,218.56 and 16,361.06

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Solution

The fourth proportional to 32,164.88, 48,218.56 and 16,361.06 is: 24,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,164.88 : 48,218.56 = 16,361.06 : x
  2. Step 2: Convert to fraction form
    32,164.88/48,218.56 = 16,361.06/x
  3. Step 3: Cross multiply
    32,164.88x = 48,218.56 × 16,361.06
  4. Step 4: Simplify right side
    32,164.88x = 788,906,471.28
  5. Step 5: Solve for x
    x = 788,906,471.28/32,164.88
  6. Step 6: Final answer
    x = 24,526.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.