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Finding the Fourth Proportional to 32,072.43, 48,113.87 and 9,885.81

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Solution

The fourth proportional to 32,072.43, 48,113.87 and 9,885.81 is: 14,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,072.43 : 48,113.87 = 9,885.81 : x
  2. Step 2: Convert to fraction form
    32,072.43/48,113.87 = 9,885.81/x
  3. Step 3: Cross multiply
    32,072.43x = 48,113.87 × 9,885.81
  4. Step 4: Simplify right side
    32,072.43x = 475,644,527.76
  5. Step 5: Solve for x
    x = 475,644,527.76/32,072.43
  6. Step 6: Final answer
    x = 14,830.32

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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.