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Finding the Fourth Proportional to 29,431.84, 44,148.96 and 13,838.56

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Solution

The fourth proportional to 29,431.84, 44,148.96 and 13,838.56 is: 20,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,431.84 : 44,148.96 = 13,838.56 : x
  2. Step 2: Convert to fraction form
    29,431.84/44,148.96 = 13,838.56/x
  3. Step 3: Cross multiply
    29,431.84x = 44,148.96 × 13,838.56
  4. Step 4: Simplify right side
    29,431.84x = 610,958,031.90
  5. Step 5: Solve for x
    x = 610,958,031.90/29,431.84
  6. Step 6: Final answer
    x = 20,758.40

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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.