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Finding the Fourth Proportional to 76,051.30, 114,096.39 and 29,291.62

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Solution

The fourth proportional to 76,051.30, 114,096.39 and 29,291.62 is: 43,944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,051.30 : 114,096.39 = 29,291.62 : x
  2. Step 2: Convert to fraction form
    76,051.30/114,096.39 = 29,291.62/x
  3. Step 3: Cross multiply
    76,051.30x = 114,096.39 × 29,291.62
  4. Step 4: Simplify right side
    76,051.30x = 3,342,068,099.25
  5. Step 5: Solve for x
    x = 3,342,068,099.25/76,051.30
  6. Step 6: Final answer
    x = 43,944.92

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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.