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Finding the Fourth Proportional to 76,236.64, 114,354.12 and 29,456.72

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Solution

The fourth proportional to 76,236.64, 114,354.12 and 29,456.72 is: 44,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,236.64 : 114,354.12 = 29,456.72 : x
  2. Step 2: Convert to fraction form
    76,236.64/114,354.12 = 29,456.72/x
  3. Step 3: Cross multiply
    76,236.64x = 114,354.12 × 29,456.72
  4. Step 4: Simplify right side
    76,236.64x = 3,368,497,293.69
  5. Step 5: Solve for x
    x = 3,368,497,293.69/76,236.64
  6. Step 6: Final answer
    x = 44,184.76

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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.