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Finding the Fourth Proportional to 68,738.16, 94,858.84 and 38,930.16

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Solution

The fourth proportional to 68,738.16, 94,858.84 and 38,930.16 is: 53,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,738.16 : 94,858.84 = 38,930.16 : x
  2. Step 2: Convert to fraction form
    68,738.16/94,858.84 = 38,930.16/x
  3. Step 3: Cross multiply
    68,738.16x = 94,858.84 × 38,930.16
  4. Step 4: Simplify right side
    68,738.16x = 3,692,869,818.61
  5. Step 5: Solve for x
    x = 3,692,869,818.61/68,738.16
  6. Step 6: Final answer
    x = 53,723.72

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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.