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Finding the Fourth Proportional to 32,968.45, 45,496.42 and 17,861.16

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Solution

The fourth proportional to 32,968.45, 45,496.42 and 17,861.16 is: 24,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,968.45 : 45,496.42 = 17,861.16 : x
  2. Step 2: Convert to fraction form
    32,968.45/45,496.42 = 17,861.16/x
  3. Step 3: Cross multiply
    32,968.45x = 45,496.42 × 17,861.16
  4. Step 4: Simplify right side
    32,968.45x = 812,618,837.05
  5. Step 5: Solve for x
    x = 812,618,837.05/32,968.45
  6. Step 6: Final answer
    x = 24,648.38

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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.