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Finding the Fourth Proportional to 68,190, 94,103.64 and 38,382

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Solution

The fourth proportional to 68,190, 94,103.64 and 38,382 is: 52,967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,190 : 94,103.64 = 38,382 : x
  2. Step 2: Convert to fraction form
    68,190/94,103.64 = 38,382/x
  3. Step 3: Cross multiply
    68,190x = 94,103.64 × 38,382
  4. Step 4: Simplify right side
    68,190x = 3,611,885,910.48
  5. Step 5: Solve for x
    x = 3,611,885,910.48/68,190
  6. Step 6: Final answer
    x = 52,967.97

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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.