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Finding the Fourth Proportional to 54,001.98, 74,519.19 and 33,858

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Solution

The fourth proportional to 54,001.98, 74,519.19 and 33,858 is: 46,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,001.98 : 74,519.19 = 33,858 : x
  2. Step 2: Convert to fraction form
    54,001.98/74,519.19 = 33,858/x
  3. Step 3: Cross multiply
    54,001.98x = 74,519.19 × 33,858
  4. Step 4: Simplify right side
    54,001.98x = 2,523,070,735.02
  5. Step 5: Solve for x
    x = 2,523,070,735.02/54,001.98
  6. Step 6: Final answer
    x = 46,721.82

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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.