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Finding the Fourth Proportional to 49,203.28, 73,817.28 and 14,143

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Solution

The fourth proportional to 49,203.28, 73,817.28 and 14,143 is: 21,218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,203.28 : 73,817.28 = 14,143 : x
  2. Step 2: Convert to fraction form
    49,203.28/73,817.28 = 14,143/x
  3. Step 3: Cross multiply
    49,203.28x = 73,817.28 × 14,143
  4. Step 4: Simplify right side
    49,203.28x = 1,043,997,791.04
  5. Step 5: Solve for x
    x = 1,043,997,791.04/49,203.28
  6. Step 6: Final answer
    x = 21,218.05

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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.