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Finding the Fourth Proportional to 105,512.74, 158,284.74 and 30,633.50

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Solution

The fourth proportional to 105,512.74, 158,284.74 and 30,633.50 is: 45,954.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,512.74 : 158,284.74 = 30,633.50 : x
  2. Step 2: Convert to fraction form
    105,512.74/158,284.74 = 30,633.50/x
  3. Step 3: Cross multiply
    105,512.74x = 158,284.74 × 30,633.50
  4. Step 4: Simplify right side
    105,512.74x = 4,848,815,582.79
  5. Step 5: Solve for x
    x = 4,848,815,582.79/105,512.74
  6. Step 6: Final answer
    x = 45,954.79

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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.