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Finding the Fourth Proportional to 32,012.05, 48,018.08 and 8,638.45

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Solution

The fourth proportional to 32,012.05, 48,018.08 and 8,638.45 is: 12,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.05 : 48,018.08 = 8,638.45 : x
  2. Step 2: Convert to fraction form
    32,012.05/48,018.08 = 8,638.45/x
  3. Step 3: Cross multiply
    32,012.05x = 48,018.08 × 8,638.45
  4. Step 4: Simplify right side
    32,012.05x = 414,801,739.98
  5. Step 5: Solve for x
    x = 414,801,739.98/32,012.05
  6. Step 6: Final answer
    x = 12,957.68

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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.