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Finding the Fourth Proportional to 49,057.34, 67,697.25 and 27,835.34

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Solution

The fourth proportional to 49,057.34, 67,697.25 and 27,835.34 is: 38,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,057.34 : 67,697.25 = 27,835.34 : x
  2. Step 2: Convert to fraction form
    49,057.34/67,697.25 = 27,835.34/x
  3. Step 3: Cross multiply
    49,057.34x = 67,697.25 × 27,835.34
  4. Step 4: Simplify right side
    49,057.34x = 1,884,375,970.82
  5. Step 5: Solve for x
    x = 1,884,375,970.82/49,057.34
  6. Step 6: Final answer
    x = 38,411.70

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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.