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Finding the Fourth Proportional to 49,757.76, 68,666.90 and 27,098.01

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Solution

The fourth proportional to 49,757.76, 68,666.90 and 27,098.01 is: 37,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,757.76 : 68,666.90 = 27,098.01 : x
  2. Step 2: Convert to fraction form
    49,757.76/68,666.90 = 27,098.01/x
  3. Step 3: Cross multiply
    49,757.76x = 68,666.90 × 27,098.01
  4. Step 4: Simplify right side
    49,757.76x = 1,860,736,207.38
  5. Step 5: Solve for x
    x = 1,860,736,207.38/49,757.76
  6. Step 6: Final answer
    x = 37,395.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.