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Finding the Fourth Proportional to 67,536.84, 101,297.58 and 18,285

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Solution

The fourth proportional to 67,536.84, 101,297.58 and 18,285 is: 27,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,536.84 : 101,297.58 = 18,285 : x
  2. Step 2: Convert to fraction form
    67,536.84/101,297.58 = 18,285/x
  3. Step 3: Cross multiply
    67,536.84x = 101,297.58 × 18,285
  4. Step 4: Simplify right side
    67,536.84x = 1,852,226,250.30
  5. Step 5: Solve for x
    x = 1,852,226,250.30/67,536.84
  6. Step 6: Final answer
    x = 27,425.42

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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.