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Finding the Fourth Proportional to 100,914.84, 151,442.64 and 41,751

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Solution

The fourth proportional to 100,914.84, 151,442.64 and 41,751 is: 62,655.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,914.84 : 151,442.64 = 41,751 : x
  2. Step 2: Convert to fraction form
    100,914.84/151,442.64 = 41,751/x
  3. Step 3: Cross multiply
    100,914.84x = 151,442.64 × 41,751
  4. Step 4: Simplify right side
    100,914.84x = 6,322,881,662.64
  5. Step 5: Solve for x
    x = 6,322,881,662.64/100,914.84
  6. Step 6: Final answer
    x = 62,655.62

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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.