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Finding the Fourth Proportional to 36,141.40, 54,228.30 and 16,409.80

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Solution

The fourth proportional to 36,141.40, 54,228.30 and 16,409.80 is: 24,622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,141.40 : 54,228.30 = 16,409.80 : x
  2. Step 2: Convert to fraction form
    36,141.40/54,228.30 = 16,409.80/x
  3. Step 3: Cross multiply
    36,141.40x = 54,228.30 × 16,409.80
  4. Step 4: Simplify right side
    36,141.40x = 889,875,557.34
  5. Step 5: Solve for x
    x = 889,875,557.34/36,141.40
  6. Step 6: Final answer
    x = 24,622.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.