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Finding the Fourth Proportional to 49,605.75, 74,308.59 and 22,914.09

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Solution

The fourth proportional to 49,605.75, 74,308.59 and 22,914.09 is: 34,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,605.75 : 74,308.59 = 22,914.09 : x
  2. Step 2: Convert to fraction form
    49,605.75/74,308.59 = 22,914.09/x
  3. Step 3: Cross multiply
    49,605.75x = 74,308.59 × 22,914.09
  4. Step 4: Simplify right side
    49,605.75x = 1,702,713,719.03
  5. Step 5: Solve for x
    x = 1,702,713,719.03/49,605.75
  6. Step 6: Final answer
    x = 34,324.93

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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.