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Finding the Fourth Proportional to 54,706, 75,456.79 and 33,495.74

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Solution

The fourth proportional to 54,706, 75,456.79 and 33,495.74 is: 46,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,706 : 75,456.79 = 33,495.74 : x
  2. Step 2: Convert to fraction form
    54,706/75,456.79 = 33,495.74/x
  3. Step 3: Cross multiply
    54,706x = 75,456.79 × 33,495.74
  4. Step 4: Simplify right side
    54,706x = 2,527,481,019.07
  5. Step 5: Solve for x
    x = 2,527,481,019.07/54,706
  6. Step 6: Final answer
    x = 46,201.17

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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.