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Finding the Fourth Proportional to 105,524.32, 158,281.62 and 30,642.80

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Solution

The fourth proportional to 105,524.32, 158,281.62 and 30,642.80 is: 45,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,524.32 : 158,281.62 = 30,642.80 : x
  2. Step 2: Convert to fraction form
    105,524.32/158,281.62 = 30,642.80/x
  3. Step 3: Cross multiply
    105,524.32x = 158,281.62 × 30,642.80
  4. Step 4: Simplify right side
    105,524.32x = 4,850,192,025.34
  5. Step 5: Solve for x
    x = 4,850,192,025.34/105,524.32
  6. Step 6: Final answer
    x = 45,962.79

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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.