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Finding the Fourth Proportional to 49,057.84, 67,697.94 and 27,835.84

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Solution

The fourth proportional to 49,057.84, 67,697.94 and 27,835.84 is: 38,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,057.84 : 67,697.94 = 27,835.84 : x
  2. Step 2: Convert to fraction form
    49,057.84/67,697.94 = 27,835.84/x
  3. Step 3: Cross multiply
    49,057.84x = 67,697.94 × 27,835.84
  4. Step 4: Simplify right side
    49,057.84x = 1,884,429,026.17
  5. Step 5: Solve for x
    x = 1,884,429,026.17/49,057.84
  6. Step 6: Final answer
    x = 38,412.39

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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.