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Finding the Fourth Proportional to 39,770.90, 59,643.74 and 13,469.49

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Solution

The fourth proportional to 39,770.90, 59,643.74 and 13,469.49 is: 20,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,770.90 : 59,643.74 = 13,469.49 : x
  2. Step 2: Convert to fraction form
    39,770.90/59,643.74 = 13,469.49/x
  3. Step 3: Cross multiply
    39,770.90x = 59,643.74 × 13,469.49
  4. Step 4: Simplify right side
    39,770.90x = 803,370,793.17
  5. Step 5: Solve for x
    x = 803,370,793.17/39,770.90
  6. Step 6: Final answer
    x = 20,199.97

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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.