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Finding the Fourth Proportional to 105,524.89, 158,229.92 and 38,047.75

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Solution

The fourth proportional to 105,524.89, 158,229.92 and 38,047.75 is: 57,050.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,524.89 : 158,229.92 = 38,047.75 : x
  2. Step 2: Convert to fraction form
    105,524.89/158,229.92 = 38,047.75/x
  3. Step 3: Cross multiply
    105,524.89x = 158,229.92 × 38,047.75
  4. Step 4: Simplify right side
    105,524.89x = 6,020,292,138.22
  5. Step 5: Solve for x
    x = 6,020,292,138.22/105,524.89
  6. Step 6: Final answer
    x = 57,050.92

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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.