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Finding the Fourth Proportional to 27,875.80, 41,872.02 and 23,501.80

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Solution

The fourth proportional to 27,875.80, 41,872.02 and 23,501.80 is: 35,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875.80 : 41,872.02 = 23,501.80 : x
  2. Step 2: Convert to fraction form
    27,875.80/41,872.02 = 23,501.80/x
  3. Step 3: Cross multiply
    27,875.80x = 41,872.02 × 23,501.80
  4. Step 4: Simplify right side
    27,875.80x = 984,067,839.64
  5. Step 5: Solve for x
    x = 984,067,839.64/27,875.80
  6. Step 6: Final answer
    x = 35,301.87

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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.