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Finding the Fourth Proportional to 32,004.46, 48,012.38 and 10,946.84

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Solution

The fourth proportional to 32,004.46, 48,012.38 and 10,946.84 is: 16,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004.46 : 48,012.38 = 10,946.84 : x
  2. Step 2: Convert to fraction form
    32,004.46/48,012.38 = 10,946.84/x
  3. Step 3: Cross multiply
    32,004.46x = 48,012.38 × 10,946.84
  4. Step 4: Simplify right side
    32,004.46x = 525,583,841.88
  5. Step 5: Solve for x
    x = 525,583,841.88/32,004.46
  6. Step 6: Final answer
    x = 16,422.21

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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.