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Finding the Fourth Proportional to 68,397, 102,599.34 and 19,152.84

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Solution

The fourth proportional to 68,397, 102,599.34 and 19,152.84 is: 28,730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,397 : 102,599.34 = 19,152.84 : x
  2. Step 2: Convert to fraction form
    68,397/102,599.34 = 19,152.84/x
  3. Step 3: Cross multiply
    68,397x = 102,599.34 × 19,152.84
  4. Step 4: Simplify right side
    68,397x = 1,965,068,743.13
  5. Step 5: Solve for x
    x = 1,965,068,743.13/68,397
  6. Step 6: Final answer
    x = 28,730.34

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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.