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Finding the Fourth Proportional to 76,687.84, 115,051.20 and 29,302.96

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Solution

The fourth proportional to 76,687.84, 115,051.20 and 29,302.96 is: 43,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,687.84 : 115,051.20 = 29,302.96 : x
  2. Step 2: Convert to fraction form
    76,687.84/115,051.20 = 29,302.96/x
  3. Step 3: Cross multiply
    76,687.84x = 115,051.20 × 29,302.96
  4. Step 4: Simplify right side
    76,687.84x = 3,371,340,711.55
  5. Step 5: Solve for x
    x = 3,371,340,711.55/76,687.84
  6. Step 6: Final answer
    x = 43,961.87

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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.