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Finding the Fourth Proportional to 49,207.80, 73,821.30 and 21,127.80

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Solution

The fourth proportional to 49,207.80, 73,821.30 and 21,127.80 is: 31,695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,207.80 : 73,821.30 = 21,127.80 : x
  2. Step 2: Convert to fraction form
    49,207.80/73,821.30 = 21,127.80/x
  3. Step 3: Cross multiply
    49,207.80x = 73,821.30 × 21,127.80
  4. Step 4: Simplify right side
    49,207.80x = 1,559,681,662.14
  5. Step 5: Solve for x
    x = 1,559,681,662.14/49,207.80
  6. Step 6: Final answer
    x = 31,695.82

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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.