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Finding the Fourth Proportional to 101,511.72, 152,282.16 and 31,396.50

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Solution

The fourth proportional to 101,511.72, 152,282.16 and 31,396.50 is: 47,099.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,511.72 : 152,282.16 = 31,396.50 : x
  2. Step 2: Convert to fraction form
    101,511.72/152,282.16 = 31,396.50/x
  3. Step 3: Cross multiply
    101,511.72x = 152,282.16 × 31,396.50
  4. Step 4: Simplify right side
    101,511.72x = 4,781,126,836.44
  5. Step 5: Solve for x
    x = 4,781,126,836.44/101,511.72
  6. Step 6: Final answer
    x = 47,099.26

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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.