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Finding the Fourth Proportional to 34,729, 52,096.08 and 13,952.56

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Solution

The fourth proportional to 34,729, 52,096.08 and 13,952.56 is: 20,929.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,729 : 52,096.08 = 13,952.56 : x
  2. Step 2: Convert to fraction form
    34,729/52,096.08 = 13,952.56/x
  3. Step 3: Cross multiply
    34,729x = 52,096.08 × 13,952.56
  4. Step 4: Simplify right side
    34,729x = 726,873,681.96
  5. Step 5: Solve for x
    x = 726,873,681.96/34,729
  6. Step 6: Final answer
    x = 20,929.88

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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.