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Finding the Fourth Proportional to 110,915.34, 166,348.50 and 32,012.40

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Solution

The fourth proportional to 110,915.34, 166,348.50 and 32,012.40 is: 48,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,915.34 : 166,348.50 = 32,012.40 : x
  2. Step 2: Convert to fraction form
    110,915.34/166,348.50 = 32,012.40/x
  3. Step 3: Cross multiply
    110,915.34x = 166,348.50 × 32,012.40
  4. Step 4: Simplify right side
    110,915.34x = 5,325,214,721.40
  5. Step 5: Solve for x
    x = 5,325,214,721.40/110,915.34
  6. Step 6: Final answer
    x = 48,011.53

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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.