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Finding the Fourth Proportional to 34,965.50, 52,442.80 and 19,178.30

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Solution

The fourth proportional to 34,965.50, 52,442.80 and 19,178.30 is: 28,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,965.50 : 52,442.80 = 19,178.30 : x
  2. Step 2: Convert to fraction form
    34,965.50/52,442.80 = 19,178.30/x
  3. Step 3: Cross multiply
    34,965.50x = 52,442.80 × 19,178.30
  4. Step 4: Simplify right side
    34,965.50x = 1,005,763,489.03
  5. Step 5: Solve for x
    x = 1,005,763,489.03/34,965.50
  6. Step 6: Final answer
    x = 28,764.46

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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.