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Finding the Fourth Proportional to 30,708.36, 42,193.80 and 24,409.80

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Solution

The fourth proportional to 30,708.36, 42,193.80 and 24,409.80 is: 33,539.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,708.36 : 42,193.80 = 24,409.80 : x
  2. Step 2: Convert to fraction form
    30,708.36/42,193.80 = 24,409.80/x
  3. Step 3: Cross multiply
    30,708.36x = 42,193.80 × 24,409.80
  4. Step 4: Simplify right side
    30,708.36x = 1,029,942,219.24
  5. Step 5: Solve for x
    x = 1,029,942,219.24/30,708.36
  6. Step 6: Final answer
    x = 33,539.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.