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Finding the Fourth Proportional to 27,467.10, 41,200.65 and 9,934.65

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Solution

The fourth proportional to 27,467.10, 41,200.65 and 9,934.65 is: 14,901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,467.10 : 41,200.65 = 9,934.65 : x
  2. Step 2: Convert to fraction form
    27,467.10/41,200.65 = 9,934.65/x
  3. Step 3: Cross multiply
    27,467.10x = 41,200.65 × 9,934.65
  4. Step 4: Simplify right side
    27,467.10x = 409,314,037.52
  5. Step 5: Solve for x
    x = 409,314,037.52/27,467.10
  6. Step 6: Final answer
    x = 14,901.98

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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.