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Finding the Fourth Proportional to 27,153.72, 40,677.90 and 20,025

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Solution

The fourth proportional to 27,153.72, 40,677.90 and 20,025 is: 29,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,153.72 : 40,677.90 = 20,025 : x
  2. Step 2: Convert to fraction form
    27,153.72/40,677.90 = 20,025/x
  3. Step 3: Cross multiply
    27,153.72x = 40,677.90 × 20,025
  4. Step 4: Simplify right side
    27,153.72x = 814,574,947.50
  5. Step 5: Solve for x
    x = 814,574,947.50/27,153.72
  6. Step 6: Final answer
    x = 29,998.65

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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.