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Finding the Fourth Proportional to 70,006.21, 104,967.09 and 27,892.80

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Solution

The fourth proportional to 70,006.21, 104,967.09 and 27,892.80 is: 41,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,006.21 : 104,967.09 = 27,892.80 : x
  2. Step 2: Convert to fraction form
    70,006.21/104,967.09 = 27,892.80/x
  3. Step 3: Cross multiply
    70,006.21x = 104,967.09 × 27,892.80
  4. Step 4: Simplify right side
    70,006.21x = 2,927,826,047.95
  5. Step 5: Solve for x
    x = 2,927,826,047.95/70,006.21
  6. Step 6: Final answer
    x = 41,822.38

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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.