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Finding the Fourth Proportional to 105,883.74, 158,849.31 and 35,761.23

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Solution

The fourth proportional to 105,883.74, 158,849.31 and 35,761.23 is: 53,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,883.74 : 158,849.31 = 35,761.23 : x
  2. Step 2: Convert to fraction form
    105,883.74/158,849.31 = 35,761.23/x
  3. Step 3: Cross multiply
    105,883.74x = 158,849.31 × 35,761.23
  4. Step 4: Simplify right side
    105,883.74x = 5,680,646,710.25
  5. Step 5: Solve for x
    x = 5,680,646,710.25/105,883.74
  6. Step 6: Final answer
    x = 53,649.85

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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.