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Finding the Fourth Proportional to 29,940.80, 44,915.20 and 10,214.40

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Solution

The fourth proportional to 29,940.80, 44,915.20 and 10,214.40 is: 15,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,940.80 : 44,915.20 = 10,214.40 : x
  2. Step 2: Convert to fraction form
    29,940.80/44,915.20 = 10,214.40/x
  3. Step 3: Cross multiply
    29,940.80x = 44,915.20 × 10,214.40
  4. Step 4: Simplify right side
    29,940.80x = 458,781,818.88
  5. Step 5: Solve for x
    x = 458,781,818.88/29,940.80
  6. Step 6: Final answer
    x = 15,322.96

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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.