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Finding the Fourth Proportional to 54,978.42, 75,869.27 and 33,460.36

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Solution

The fourth proportional to 54,978.42, 75,869.27 and 33,460.36 is: 46,174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.42 : 75,869.27 = 33,460.36 : x
  2. Step 2: Convert to fraction form
    54,978.42/75,869.27 = 33,460.36/x
  3. Step 3: Cross multiply
    54,978.42x = 75,869.27 × 33,460.36
  4. Step 4: Simplify right side
    54,978.42x = 2,538,613,087.14
  5. Step 5: Solve for x
    x = 2,538,613,087.14/54,978.42
  6. Step 6: Final answer
    x = 46,174.72

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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.