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Finding the Fourth Proportional to 34,776.96, 52,165.44 and 16,304.64

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Solution

The fourth proportional to 34,776.96, 52,165.44 and 16,304.64 is: 24,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,776.96 : 52,165.44 = 16,304.64 : x
  2. Step 2: Convert to fraction form
    34,776.96/52,165.44 = 16,304.64/x
  3. Step 3: Cross multiply
    34,776.96x = 52,165.44 × 16,304.64
  4. Step 4: Simplify right side
    34,776.96x = 850,538,719.64
  5. Step 5: Solve for x
    x = 850,538,719.64/34,776.96
  6. Step 6: Final answer
    x = 24,456.96

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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.