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Finding the Fourth Proportional to 76,238.94, 105,078.38 and 50,699.66

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Solution

The fourth proportional to 76,238.94, 105,078.38 and 50,699.66 is: 69,878.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,238.94 : 105,078.38 = 50,699.66 : x
  2. Step 2: Convert to fraction form
    76,238.94/105,078.38 = 50,699.66/x
  3. Step 3: Cross multiply
    76,238.94x = 105,078.38 × 50,699.66
  4. Step 4: Simplify right side
    76,238.94x = 5,327,438,139.35
  5. Step 5: Solve for x
    x = 5,327,438,139.35/76,238.94
  6. Step 6: Final answer
    x = 69,878.18

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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.