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Finding the Fourth Proportional to 27,973, 41,903.22 and 12,959.08

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Solution

The fourth proportional to 27,973, 41,903.22 and 12,959.08 is: 19,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,973 : 41,903.22 = 12,959.08 : x
  2. Step 2: Convert to fraction form
    27,973/41,903.22 = 12,959.08/x
  3. Step 3: Cross multiply
    27,973x = 41,903.22 × 12,959.08
  4. Step 4: Simplify right side
    27,973x = 543,027,180.24
  5. Step 5: Solve for x
    x = 543,027,180.24/27,973
  6. Step 6: Final answer
    x = 19,412.55

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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.