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Finding the Fourth Proportional to 68,064, 93,933.12 and 38,256

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Solution

The fourth proportional to 68,064, 93,933.12 and 38,256 is: 52,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,064 : 93,933.12 = 38,256 : x
  2. Step 2: Convert to fraction form
    68,064/93,933.12 = 38,256/x
  3. Step 3: Cross multiply
    68,064x = 93,933.12 × 38,256
  4. Step 4: Simplify right side
    68,064x = 3,593,505,438.72
  5. Step 5: Solve for x
    x = 3,593,505,438.72/68,064
  6. Step 6: Final answer
    x = 52,795.98

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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.