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Finding the Fourth Proportional to 29,102.44, 43,672.76 and 15,964

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Solution

The fourth proportional to 29,102.44, 43,672.76 and 15,964 is: 23,956.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,102.44 : 43,672.76 = 15,964 : x
  2. Step 2: Convert to fraction form
    29,102.44/43,672.76 = 15,964/x
  3. Step 3: Cross multiply
    29,102.44x = 43,672.76 × 15,964
  4. Step 4: Simplify right side
    29,102.44x = 697,191,940.64
  5. Step 5: Solve for x
    x = 697,191,940.64/29,102.44
  6. Step 6: Final answer
    x = 23,956.48

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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.