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Finding the Fourth Proportional to 102,425.44, 153,638.16 and 32,310.20

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Solution

The fourth proportional to 102,425.44, 153,638.16 and 32,310.20 is: 48,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,425.44 : 153,638.16 = 32,310.20 : x
  2. Step 2: Convert to fraction form
    102,425.44/153,638.16 = 32,310.20/x
  3. Step 3: Cross multiply
    102,425.44x = 153,638.16 × 32,310.20
  4. Step 4: Simplify right side
    102,425.44x = 4,964,079,677.23
  5. Step 5: Solve for x
    x = 4,964,079,677.23/102,425.44
  6. Step 6: Final answer
    x = 48,465.30

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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.