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Finding the Fourth Proportional to 32,942.70, 45,460.38 and 17,835.24

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Solution

The fourth proportional to 32,942.70, 45,460.38 and 17,835.24 is: 24,612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,942.70 : 45,460.38 = 17,835.24 : x
  2. Step 2: Convert to fraction form
    32,942.70/45,460.38 = 17,835.24/x
  3. Step 3: Cross multiply
    32,942.70x = 45,460.38 × 17,835.24
  4. Step 4: Simplify right side
    32,942.70x = 810,796,644.03
  5. Step 5: Solve for x
    x = 810,796,644.03/32,942.70
  6. Step 6: Final answer
    x = 24,612.33

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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.