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Finding the Fourth Proportional to 32,867.64, 49,279.86 and 11,797.11

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Solution

The fourth proportional to 32,867.64, 49,279.86 and 11,797.11 is: 17,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,867.64 : 49,279.86 = 11,797.11 : x
  2. Step 2: Convert to fraction form
    32,867.64/49,279.86 = 11,797.11/x
  3. Step 3: Cross multiply
    32,867.64x = 49,279.86 × 11,797.11
  4. Step 4: Simplify right side
    32,867.64x = 581,359,929.20
  5. Step 5: Solve for x
    x = 581,359,929.20/32,867.64
  6. Step 6: Final answer
    x = 17,687.91

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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.