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Finding the Fourth Proportional to 76,817.12, 115,146.50 and 29,419.27

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Solution

The fourth proportional to 76,817.12, 115,146.50 and 29,419.27 is: 44,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,817.12 : 115,146.50 = 29,419.27 : x
  2. Step 2: Convert to fraction form
    76,817.12/115,146.50 = 29,419.27/x
  3. Step 3: Cross multiply
    76,817.12x = 115,146.50 × 29,419.27
  4. Step 4: Simplify right side
    76,817.12x = 3,387,525,538.09
  5. Step 5: Solve for x
    x = 3,387,525,538.09/76,817.12
  6. Step 6: Final answer
    x = 44,098.58

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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.