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Finding the Fourth Proportional to 30,142.81, 41,598.09 and 18,203.77

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Solution

The fourth proportional to 30,142.81, 41,598.09 and 18,203.77 is: 25,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.81 : 41,598.09 = 18,203.77 : x
  2. Step 2: Convert to fraction form
    30,142.81/41,598.09 = 18,203.77/x
  3. Step 3: Cross multiply
    30,142.81x = 41,598.09 × 18,203.77
  4. Step 4: Simplify right side
    30,142.81x = 757,242,062.80
  5. Step 5: Solve for x
    x = 757,242,062.80/30,142.81
  6. Step 6: Final answer
    x = 25,121.81

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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.