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Finding the Fourth Proportional to 32,941.74, 45,459.54 and 17,834.40

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Solution

The fourth proportional to 32,941.74, 45,459.54 and 17,834.40 is: 24,611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,941.74 : 45,459.54 = 17,834.40 : x
  2. Step 2: Convert to fraction form
    32,941.74/45,459.54 = 17,834.40/x
  3. Step 3: Cross multiply
    32,941.74x = 45,459.54 × 17,834.40
  4. Step 4: Simplify right side
    32,941.74x = 810,743,620.18
  5. Step 5: Solve for x
    x = 810,743,620.18/32,941.74
  6. Step 6: Final answer
    x = 24,611.44

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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.