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Finding the Fourth Proportional to 36,039.26, 54,058.76 and 9,744

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Solution

The fourth proportional to 36,039.26, 54,058.76 and 9,744 is: 14,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,039.26 : 54,058.76 = 9,744 : x
  2. Step 2: Convert to fraction form
    36,039.26/54,058.76 = 9,744/x
  3. Step 3: Cross multiply
    36,039.26x = 54,058.76 × 9,744
  4. Step 4: Simplify right side
    36,039.26x = 526,748,581.80
  5. Step 5: Solve for x
    x = 526,748,581.80/36,039.26
  6. Step 6: Final answer
    x = 14,615.96

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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.