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Finding the Fourth Proportional to 76,400.14, 105,419.86 and 44,129.63

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Solution

The fourth proportional to 76,400.14, 105,419.86 and 44,129.63 is: 60,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,400.14 : 105,419.86 = 44,129.63 : x
  2. Step 2: Convert to fraction form
    76,400.14/105,419.86 = 44,129.63/x
  3. Step 3: Cross multiply
    76,400.14x = 105,419.86 × 44,129.63
  4. Step 4: Simplify right side
    76,400.14x = 4,652,138,779.03
  5. Step 5: Solve for x
    x = 4,652,138,779.03/76,400.14
  6. Step 6: Final answer
    x = 60,891.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.