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Finding the Fourth Proportional to 121,741, 182,611.56 and 38,635

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Solution

The fourth proportional to 121,741, 182,611.56 and 38,635 is: 57,952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,741 : 182,611.56 = 38,635 : x
  2. Step 2: Convert to fraction form
    121,741/182,611.56 = 38,635/x
  3. Step 3: Cross multiply
    121,741x = 182,611.56 × 38,635
  4. Step 4: Simplify right side
    121,741x = 7,055,197,620.60
  5. Step 5: Solve for x
    x = 7,055,197,620.60/121,741
  6. Step 6: Final answer
    x = 57,952.52

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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.