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Finding the Fourth Proportional to 68,300.46, 102,462.44 and 20,914.38

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Solution

The fourth proportional to 68,300.46, 102,462.44 and 20,914.38 is: 31,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,300.46 : 102,462.44 = 20,914.38 : x
  2. Step 2: Convert to fraction form
    68,300.46/102,462.44 = 20,914.38/x
  3. Step 3: Cross multiply
    68,300.46x = 102,462.44 × 20,914.38
  4. Step 4: Simplify right side
    68,300.46x = 2,142,938,301.32
  5. Step 5: Solve for x
    x = 2,142,938,301.32/68,300.46
  6. Step 6: Final answer
    x = 31,375.17

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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.