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Finding the Fourth Proportional to 111,264.22, 166,894.80 and 27,025

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Solution

The fourth proportional to 111,264.22, 166,894.80 and 27,025 is: 40,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,264.22 : 166,894.80 = 27,025 : x
  2. Step 2: Convert to fraction form
    111,264.22/166,894.80 = 27,025/x
  3. Step 3: Cross multiply
    111,264.22x = 166,894.80 × 27,025
  4. Step 4: Simplify right side
    111,264.22x = 4,510,331,970
  5. Step 5: Solve for x
    x = 4,510,331,970/111,264.22
  6. Step 6: Final answer
    x = 40,537.13

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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.