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Finding the Fourth Proportional to 76,472.85, 114,709.28 and 29,736.66

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Solution

The fourth proportional to 76,472.85, 114,709.28 and 29,736.66 is: 44,604.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,472.85 : 114,709.28 = 29,736.66 : x
  2. Step 2: Convert to fraction form
    76,472.85/114,709.28 = 29,736.66/x
  3. Step 3: Cross multiply
    76,472.85x = 114,709.28 × 29,736.66
  4. Step 4: Simplify right side
    76,472.85x = 3,411,070,858.20
  5. Step 5: Solve for x
    x = 3,411,070,858.20/76,472.85
  6. Step 6: Final answer
    x = 44,604.99

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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.