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Finding the Fourth Proportional to 76,494.56, 114,672.72 and 27,235.04

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Solution

The fourth proportional to 76,494.56, 114,672.72 and 27,235.04 is: 40,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,494.56 : 114,672.72 = 27,235.04 : x
  2. Step 2: Convert to fraction form
    76,494.56/114,672.72 = 27,235.04/x
  3. Step 3: Cross multiply
    76,494.56x = 114,672.72 × 27,235.04
  4. Step 4: Simplify right side
    76,494.56x = 3,123,116,116.11
  5. Step 5: Solve for x
    x = 3,123,116,116.11/76,494.56
  6. Step 6: Final answer
    x = 40,827.95

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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.