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Finding the Fourth Proportional to 68,371.84, 102,496.78 and 36,798.84

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Solution

The fourth proportional to 68,371.84, 102,496.78 and 36,798.84 is: 55,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,371.84 : 102,496.78 = 36,798.84 : x
  2. Step 2: Convert to fraction form
    68,371.84/102,496.78 = 36,798.84/x
  3. Step 3: Cross multiply
    68,371.84x = 102,496.78 × 36,798.84
  4. Step 4: Simplify right side
    68,371.84x = 3,771,762,607.74
  5. Step 5: Solve for x
    x = 3,771,762,607.74/68,371.84
  6. Step 6: Final answer
    x = 55,165.44

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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.