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Finding the Fourth Proportional to 105,403.56, 158,113.66 and 30,524.88

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Solution

The fourth proportional to 105,403.56, 158,113.66 and 30,524.88 is: 45,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,403.56 : 158,113.66 = 30,524.88 : x
  2. Step 2: Convert to fraction form
    105,403.56/158,113.66 = 30,524.88/x
  3. Step 3: Cross multiply
    105,403.56x = 158,113.66 × 30,524.88
  4. Step 4: Simplify right side
    105,403.56x = 4,826,400,497.86
  5. Step 5: Solve for x
    x = 4,826,400,497.86/105,403.56
  6. Step 6: Final answer
    x = 45,789.73

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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.