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Finding the Fourth Proportional to 54,796.50, 75,619.17 and 29,646

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Solution

The fourth proportional to 54,796.50, 75,619.17 and 29,646 is: 40,911.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,796.50 : 75,619.17 = 29,646 : x
  2. Step 2: Convert to fraction form
    54,796.50/75,619.17 = 29,646/x
  3. Step 3: Cross multiply
    54,796.50x = 75,619.17 × 29,646
  4. Step 4: Simplify right side
    54,796.50x = 2,241,805,913.82
  5. Step 5: Solve for x
    x = 2,241,805,913.82/54,796.50
  6. Step 6: Final answer
    x = 40,911.48

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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.