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Finding the Fourth Proportional to 27,959.16, 41,941.59 and 9,239.25

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Solution

The fourth proportional to 27,959.16, 41,941.59 and 9,239.25 is: 13,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,959.16 : 41,941.59 = 9,239.25 : x
  2. Step 2: Convert to fraction form
    27,959.16/41,941.59 = 9,239.25/x
  3. Step 3: Cross multiply
    27,959.16x = 41,941.59 × 9,239.25
  4. Step 4: Simplify right side
    27,959.16x = 387,508,835.41
  5. Step 5: Solve for x
    x = 387,508,835.41/27,959.16
  6. Step 6: Final answer
    x = 13,859.82

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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.