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Finding the Fourth Proportional to 68,006.88, 102,043.80 and 30,593.40

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Solution

The fourth proportional to 68,006.88, 102,043.80 and 30,593.40 is: 45,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,006.88 : 102,043.80 = 30,593.40 : x
  2. Step 2: Convert to fraction form
    68,006.88/102,043.80 = 30,593.40/x
  3. Step 3: Cross multiply
    68,006.88x = 102,043.80 × 30,593.40
  4. Step 4: Simplify right side
    68,006.88x = 3,121,866,790.92
  5. Step 5: Solve for x
    x = 3,121,866,790.92/68,006.88
  6. Step 6: Final answer
    x = 45,905.16

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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.