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Finding the Fourth Proportional to 102,450.72, 153,676.80 and 32,337.12

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Solution

The fourth proportional to 102,450.72, 153,676.80 and 32,337.12 is: 48,505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,450.72 : 153,676.80 = 32,337.12 : x
  2. Step 2: Convert to fraction form
    102,450.72/153,676.80 = 32,337.12/x
  3. Step 3: Cross multiply
    102,450.72x = 153,676.80 × 32,337.12
  4. Step 4: Simplify right side
    102,450.72x = 4,969,465,122.82
  5. Step 5: Solve for x
    x = 4,969,465,122.82/102,450.72
  6. Step 6: Final answer
    x = 48,505.91

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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.