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Finding the Fourth Proportional to 32,941.70, 45,459.49 and 17,834.46

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Solution

The fourth proportional to 32,941.70, 45,459.49 and 17,834.46 is: 24,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,941.70 : 45,459.49 = 17,834.46 : x
  2. Step 2: Convert to fraction form
    32,941.70/45,459.49 = 17,834.46/x
  3. Step 3: Cross multiply
    32,941.70x = 45,459.49 × 17,834.46
  4. Step 4: Simplify right side
    32,941.70x = 810,745,456.03
  5. Step 5: Solve for x
    x = 810,745,456.03/32,941.70
  6. Step 6: Final answer
    x = 24,611.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.