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Finding the Fourth Proportional to 49,201.20, 73,823.40 and 22,892.40

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Solution

The fourth proportional to 49,201.20, 73,823.40 and 22,892.40 is: 34,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,201.20 : 73,823.40 = 22,892.40 : x
  2. Step 2: Convert to fraction form
    49,201.20/73,823.40 = 22,892.40/x
  3. Step 3: Cross multiply
    49,201.20x = 73,823.40 × 22,892.40
  4. Step 4: Simplify right side
    49,201.20x = 1,689,994,802.16
  5. Step 5: Solve for x
    x = 1,689,994,802.16/49,201.20
  6. Step 6: Final answer
    x = 34,348.65

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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.