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Finding the Fourth Proportional to 105,524.85, 158,229.86 and 38,047.70

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Solution

The fourth proportional to 105,524.85, 158,229.86 and 38,047.70 is: 57,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,524.85 : 158,229.86 = 38,047.70 : x
  2. Step 2: Convert to fraction form
    105,524.85/158,229.86 = 38,047.70/x
  3. Step 3: Cross multiply
    105,524.85x = 158,229.86 × 38,047.70
  4. Step 4: Simplify right side
    105,524.85x = 6,020,281,262.93
  5. Step 5: Solve for x
    x = 6,020,281,262.93/105,524.85
  6. Step 6: Final answer
    x = 57,050.84

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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.