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Finding the Fourth Proportional to 39,609, 54,662.04 and 22,842

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Solution

The fourth proportional to 39,609, 54,662.04 and 22,842 is: 31,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,609 : 54,662.04 = 22,842 : x
  2. Step 2: Convert to fraction form
    39,609/54,662.04 = 22,842/x
  3. Step 3: Cross multiply
    39,609x = 54,662.04 × 22,842
  4. Step 4: Simplify right side
    39,609x = 1,248,590,317.68
  5. Step 5: Solve for x
    x = 1,248,590,317.68/39,609
  6. Step 6: Final answer
    x = 31,522.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.