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Finding the Fourth Proportional to 68,006.35, 102,043.05 and 30,592.90

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Solution

The fourth proportional to 68,006.35, 102,043.05 and 30,592.90 is: 45,904.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,006.35 : 102,043.05 = 30,592.90 : x
  2. Step 2: Convert to fraction form
    68,006.35/102,043.05 = 30,592.90/x
  3. Step 3: Cross multiply
    68,006.35x = 102,043.05 × 30,592.90
  4. Step 4: Simplify right side
    68,006.35x = 3,121,792,824.35
  5. Step 5: Solve for x
    x = 3,121,792,824.35/68,006.35
  6. Step 6: Final answer
    x = 45,904.43

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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.