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Finding the Fourth Proportional to 72,266.88, 108,431.33 and 27,924.78

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Solution

The fourth proportional to 72,266.88, 108,431.33 and 27,924.78 is: 41,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,266.88 : 108,431.33 = 27,924.78 : x
  2. Step 2: Convert to fraction form
    72,266.88/108,431.33 = 27,924.78/x
  3. Step 3: Cross multiply
    72,266.88x = 108,431.33 × 27,924.78
  4. Step 4: Simplify right side
    72,266.88x = 3,027,920,623.08
  5. Step 5: Solve for x
    x = 3,027,920,623.08/72,266.88
  6. Step 6: Final answer
    x = 41,899.14

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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.