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Finding the Fourth Proportional to 52,046.03, 71,824.52 and 30,548.43

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Solution

The fourth proportional to 52,046.03, 71,824.52 and 30,548.43 is: 42,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,046.03 : 71,824.52 = 30,548.43 : x
  2. Step 2: Convert to fraction form
    52,046.03/71,824.52 = 30,548.43/x
  3. Step 3: Cross multiply
    52,046.03x = 71,824.52 × 30,548.43
  4. Step 4: Simplify right side
    52,046.03x = 2,194,126,168.76
  5. Step 5: Solve for x
    x = 2,194,126,168.76/52,046.03
  6. Step 6: Final answer
    x = 42,157.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.