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Finding the Fourth Proportional to 32,745, 45,188.10 and 17,841

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Solution

The fourth proportional to 32,745, 45,188.10 and 17,841 is: 24,620.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,745 : 45,188.10 = 17,841 : x
  2. Step 2: Convert to fraction form
    32,745/45,188.10 = 17,841/x
  3. Step 3: Cross multiply
    32,745x = 45,188.10 × 17,841
  4. Step 4: Simplify right side
    32,745x = 806,200,892.10
  5. Step 5: Solve for x
    x = 806,200,892.10/32,745
  6. Step 6: Final answer
    x = 24,620.58

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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.