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Finding the Fourth Proportional to 102,136.89, 153,205.38 and 32,021.67

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Solution

The fourth proportional to 102,136.89, 153,205.38 and 32,021.67 is: 48,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,136.89 : 153,205.38 = 32,021.67 : x
  2. Step 2: Convert to fraction form
    102,136.89/153,205.38 = 32,021.67/x
  3. Step 3: Cross multiply
    102,136.89x = 153,205.38 × 32,021.67
  4. Step 4: Simplify right side
    102,136.89x = 4,905,892,120.58
  5. Step 5: Solve for x
    x = 4,905,892,120.58/102,136.89
  6. Step 6: Final answer
    x = 48,032.52

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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.