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Finding the Fourth Proportional to 105,119.15, 157,699.50 and 38,559.90

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Solution

The fourth proportional to 105,119.15, 157,699.50 and 38,559.90 is: 57,847.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,119.15 : 157,699.50 = 38,559.90 : x
  2. Step 2: Convert to fraction form
    105,119.15/157,699.50 = 38,559.90/x
  3. Step 3: Cross multiply
    105,119.15x = 157,699.50 × 38,559.90
  4. Step 4: Simplify right side
    105,119.15x = 6,080,876,950.05
  5. Step 5: Solve for x
    x = 6,080,876,950.05/105,119.15
  6. Step 6: Final answer
    x = 57,847.47

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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.