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Finding the Fourth Proportional to 32,566, 44,941.32 and 17,662

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Solution

The fourth proportional to 32,566, 44,941.32 and 17,662 is: 24,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,566 : 44,941.32 = 17,662 : x
  2. Step 2: Convert to fraction form
    32,566/44,941.32 = 17,662/x
  3. Step 3: Cross multiply
    32,566x = 44,941.32 × 17,662
  4. Step 4: Simplify right side
    32,566x = 793,753,593.84
  5. Step 5: Solve for x
    x = 793,753,593.84/32,566
  6. Step 6: Final answer
    x = 24,373.69

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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.