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Finding the Fourth Proportional to 110,340, 165,510.41 and 27,234

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Solution

The fourth proportional to 110,340, 165,510.41 and 27,234 is: 40,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,340 : 165,510.41 = 27,234 : x
  2. Step 2: Convert to fraction form
    110,340/165,510.41 = 27,234/x
  3. Step 3: Cross multiply
    110,340x = 165,510.41 × 27,234
  4. Step 4: Simplify right side
    110,340x = 4,507,510,369.77
  5. Step 5: Solve for x
    x = 4,507,510,369.77/110,340
  6. Step 6: Final answer
    x = 40,851.10

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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.