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Finding the Fourth Proportional to 32,857, 45,342.98 and 17,953

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Solution

The fourth proportional to 32,857, 45,342.98 and 17,953 is: 24,775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,857 : 45,342.98 = 17,953 : x
  2. Step 2: Convert to fraction form
    32,857/45,342.98 = 17,953/x
  3. Step 3: Cross multiply
    32,857x = 45,342.98 × 17,953
  4. Step 4: Simplify right side
    32,857x = 814,042,519.94
  5. Step 5: Solve for x
    x = 814,042,519.94/32,857
  6. Step 6: Final answer
    x = 24,775.31

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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.