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Finding the Fourth Proportional to 49,044.46, 73,564.62 and 13,984.06

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Solution

The fourth proportional to 49,044.46, 73,564.62 and 13,984.06 is: 20,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,044.46 : 73,564.62 = 13,984.06 : x
  2. Step 2: Convert to fraction form
    49,044.46/73,564.62 = 13,984.06/x
  3. Step 3: Cross multiply
    49,044.46x = 73,564.62 × 13,984.06
  4. Step 4: Simplify right side
    49,044.46x = 1,028,732,059.96
  5. Step 5: Solve for x
    x = 1,028,732,059.96/49,044.46
  6. Step 6: Final answer
    x = 20,975.50

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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.