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Finding the Fourth Proportional to 39,770.40, 59,641.20 and 20,042.40

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Solution

The fourth proportional to 39,770.40, 59,641.20 and 20,042.40 is: 30,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,770.40 : 59,641.20 = 20,042.40 : x
  2. Step 2: Convert to fraction form
    39,770.40/59,641.20 = 20,042.40/x
  3. Step 3: Cross multiply
    39,770.40x = 59,641.20 × 20,042.40
  4. Step 4: Simplify right side
    39,770.40x = 1,195,352,786.88
  5. Step 5: Solve for x
    x = 1,195,352,786.88/39,770.40
  6. Step 6: Final answer
    x = 30,056.34

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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.