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Finding the Fourth Proportional to 70,006.25, 104,967.14 and 27,892.84

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Solution

The fourth proportional to 70,006.25, 104,967.14 and 27,892.84 is: 41,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,006.25 : 104,967.14 = 27,892.84 : x
  2. Step 2: Convert to fraction form
    70,006.25/104,967.14 = 27,892.84/x
  3. Step 3: Cross multiply
    70,006.25x = 104,967.14 × 27,892.84
  4. Step 4: Simplify right side
    70,006.25x = 2,927,831,239.40
  5. Step 5: Solve for x
    x = 2,927,831,239.40/70,006.25
  6. Step 6: Final answer
    x = 41,822.43

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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.