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Finding the Fourth Proportional to 68,003.84, 93,849.60 and 38,197.76

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Solution

The fourth proportional to 68,003.84, 93,849.60 and 38,197.76 is: 52,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,003.84 : 93,849.60 = 38,197.76 : x
  2. Step 2: Convert to fraction form
    68,003.84/93,849.60 = 38,197.76/x
  3. Step 3: Cross multiply
    68,003.84x = 93,849.60 × 38,197.76
  4. Step 4: Simplify right side
    68,003.84x = 3,584,844,496.90
  5. Step 5: Solve for x
    x = 3,584,844,496.90/68,003.84
  6. Step 6: Final answer
    x = 52,715.32

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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.