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Finding the Fourth Proportional to 32,541, 44,906.61 and 17,637

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Solution

The fourth proportional to 32,541, 44,906.61 and 17,637 is: 24,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,541 : 44,906.61 = 17,637 : x
  2. Step 2: Convert to fraction form
    32,541/44,906.61 = 17,637/x
  3. Step 3: Cross multiply
    32,541x = 44,906.61 × 17,637
  4. Step 4: Simplify right side
    32,541x = 792,017,880.57
  5. Step 5: Solve for x
    x = 792,017,880.57/32,541
  6. Step 6: Final answer
    x = 24,339.08

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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.