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Finding the Fourth Proportional to 29,516.78, 44,277.80 and 9,795.50

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Solution

The fourth proportional to 29,516.78, 44,277.80 and 9,795.50 is: 14,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,516.78 : 44,277.80 = 9,795.50 : x
  2. Step 2: Convert to fraction form
    29,516.78/44,277.80 = 9,795.50/x
  3. Step 3: Cross multiply
    29,516.78x = 44,277.80 × 9,795.50
  4. Step 4: Simplify right side
    29,516.78x = 433,723,189.90
  5. Step 5: Solve for x
    x = 433,723,189.90/29,516.78
  6. Step 6: Final answer
    x = 14,694.12

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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.