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Finding the Fourth Proportional to 105,127.67, 157,716.65 and 34,050.38

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Solution

The fourth proportional to 105,127.67, 157,716.65 and 34,050.38 is: 51,083.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,127.67 : 157,716.65 = 34,050.38 : x
  2. Step 2: Convert to fraction form
    105,127.67/157,716.65 = 34,050.38/x
  3. Step 3: Cross multiply
    105,127.67x = 157,716.65 × 34,050.38
  4. Step 4: Simplify right side
    105,127.67x = 5,370,311,161.37
  5. Step 5: Solve for x
    x = 5,370,311,161.37/105,127.67
  6. Step 6: Final answer
    x = 51,083.71

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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.