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Finding the Fourth Proportional to 32,596, 44,983.02 and 17,692

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Solution

The fourth proportional to 32,596, 44,983.02 and 17,692 is: 24,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,596 : 44,983.02 = 17,692 : x
  2. Step 2: Convert to fraction form
    32,596/44,983.02 = 17,692/x
  3. Step 3: Cross multiply
    32,596x = 44,983.02 × 17,692
  4. Step 4: Simplify right side
    32,596x = 795,839,589.84
  5. Step 5: Solve for x
    x = 795,839,589.84/32,596
  6. Step 6: Final answer
    x = 24,415.25

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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.