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Finding the Fourth Proportional to 20,046.38, 30,055.70 and 14,427.50

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Solution

The fourth proportional to 20,046.38, 30,055.70 and 14,427.50 is: 21,631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046.38 : 30,055.70 = 14,427.50 : x
  2. Step 2: Convert to fraction form
    20,046.38/30,055.70 = 14,427.50/x
  3. Step 3: Cross multiply
    20,046.38x = 30,055.70 × 14,427.50
  4. Step 4: Simplify right side
    20,046.38x = 433,628,497.54
  5. Step 5: Solve for x
    x = 433,628,497.54/20,046.38
  6. Step 6: Final answer
    x = 21,631.27

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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.