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Finding the Fourth Proportional to 105,676.86, 158,533.11 and 35,539.50

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Solution

The fourth proportional to 105,676.86, 158,533.11 and 35,539.50 is: 53,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,676.86 : 158,533.11 = 35,539.50 : x
  2. Step 2: Convert to fraction form
    105,676.86/158,533.11 = 35,539.50/x
  3. Step 3: Cross multiply
    105,676.86x = 158,533.11 × 35,539.50
  4. Step 4: Simplify right side
    105,676.86x = 5,634,187,462.85
  5. Step 5: Solve for x
    x = 5,634,187,462.85/105,676.86
  6. Step 6: Final answer
    x = 53,315.24

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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.