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Finding the Fourth Proportional to 105,998.88, 158,899.50 and 35,829.42

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Solution

The fourth proportional to 105,998.88, 158,899.50 and 35,829.42 is: 53,710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,998.88 : 158,899.50 = 35,829.42 : x
  2. Step 2: Convert to fraction form
    105,998.88/158,899.50 = 35,829.42/x
  3. Step 3: Cross multiply
    105,998.88x = 158,899.50 × 35,829.42
  4. Step 4: Simplify right side
    105,998.88x = 5,693,276,923.29
  5. Step 5: Solve for x
    x = 5,693,276,923.29/105,998.88
  6. Step 6: Final answer
    x = 53,710.73

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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.