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Finding the Fourth Proportional to 29,956.16, 44,940.64 and 11,488

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Solution

The fourth proportional to 29,956.16, 44,940.64 and 11,488 is: 17,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,956.16 : 44,940.64 = 11,488 : x
  2. Step 2: Convert to fraction form
    29,956.16/44,940.64 = 11,488/x
  3. Step 3: Cross multiply
    29,956.16x = 44,940.64 × 11,488
  4. Step 4: Simplify right side
    29,956.16x = 516,278,072.32
  5. Step 5: Solve for x
    x = 516,278,072.32/29,956.16
  6. Step 6: Final answer
    x = 17,234.45

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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.