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Finding the Fourth Proportional to 76,329.84, 114,528.84 and 29,586.36

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Solution

The fourth proportional to 76,329.84, 114,528.84 and 29,586.36 is: 44,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,329.84 : 114,528.84 = 29,586.36 : x
  2. Step 2: Convert to fraction form
    76,329.84/114,528.84 = 29,586.36/x
  3. Step 3: Cross multiply
    76,329.84x = 114,528.84 × 29,586.36
  4. Step 4: Simplify right side
    76,329.84x = 3,388,491,490.62
  5. Step 5: Solve for x
    x = 3,388,491,490.62/76,329.84
  6. Step 6: Final answer
    x = 44,392.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.