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Finding the Fourth Proportional to 29,975.40, 44,865.90 and 21,227.40

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Solution

The fourth proportional to 29,975.40, 44,865.90 and 21,227.40 is: 31,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,975.40 : 44,865.90 = 21,227.40 : x
  2. Step 2: Convert to fraction form
    29,975.40/44,865.90 = 21,227.40/x
  3. Step 3: Cross multiply
    29,975.40x = 44,865.90 × 21,227.40
  4. Step 4: Simplify right side
    29,975.40x = 952,386,405.66
  5. Step 5: Solve for x
    x = 952,386,405.66/29,975.40
  6. Step 6: Final answer
    x = 31,772.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.