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Finding the Fourth Proportional to 30,269.57, 41,771.37 and 16,840.53

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Solution

The fourth proportional to 30,269.57, 41,771.37 and 16,840.53 is: 23,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,269.57 : 41,771.37 = 16,840.53 : x
  2. Step 2: Convert to fraction form
    30,269.57/41,771.37 = 16,840.53/x
  3. Step 3: Cross multiply
    30,269.57x = 41,771.37 × 16,840.53
  4. Step 4: Simplify right side
    30,269.57x = 703,452,009.63
  5. Step 5: Solve for x
    x = 703,452,009.63/30,269.57
  6. Step 6: Final answer
    x = 23,239.58

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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.