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Finding the Fourth Proportional to 74,362.25, 102,581.87 and 47,476.49

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Solution

The fourth proportional to 74,362.25, 102,581.87 and 47,476.49 is: 65,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,362.25 : 102,581.87 = 47,476.49 : x
  2. Step 2: Convert to fraction form
    74,362.25/102,581.87 = 47,476.49/x
  3. Step 3: Cross multiply
    74,362.25x = 102,581.87 × 47,476.49
  4. Step 4: Simplify right side
    74,362.25x = 4,870,227,144.31
  5. Step 5: Solve for x
    x = 4,870,227,144.31/74,362.25
  6. Step 6: Final answer
    x = 65,493.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.