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Finding the Fourth Proportional to 34,475.12, 51,711.65 and 9,516.69

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Solution

The fourth proportional to 34,475.12, 51,711.65 and 9,516.69 is: 14,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,475.12 : 51,711.65 = 9,516.69 : x
  2. Step 2: Convert to fraction form
    34,475.12/51,711.65 = 9,516.69/x
  3. Step 3: Cross multiply
    34,475.12x = 51,711.65 × 9,516.69
  4. Step 4: Simplify right side
    34,475.12x = 492,123,730.54
  5. Step 5: Solve for x
    x = 492,123,730.54/34,475.12
  6. Step 6: Final answer
    x = 14,274.75

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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.