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Finding the Fourth Proportional to 69,784.94, 104,689.14 and 32,329.70

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Solution

The fourth proportional to 69,784.94, 104,689.14 and 32,329.70 is: 48,499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,784.94 : 104,689.14 = 32,329.70 : x
  2. Step 2: Convert to fraction form
    69,784.94/104,689.14 = 32,329.70/x
  3. Step 3: Cross multiply
    69,784.94x = 104,689.14 × 32,329.70
  4. Step 4: Simplify right side
    69,784.94x = 3,384,568,489.46
  5. Step 5: Solve for x
    x = 3,384,568,489.46/69,784.94
  6. Step 6: Final answer
    x = 48,499.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.