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Finding the Fourth Proportional to 53,978.96, 74,525.64 and 33,863.42

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Solution

The fourth proportional to 53,978.96, 74,525.64 and 33,863.42 is: 46,753.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978.96 : 74,525.64 = 33,863.42 : x
  2. Step 2: Convert to fraction form
    53,978.96/74,525.64 = 33,863.42/x
  3. Step 3: Cross multiply
    53,978.96x = 74,525.64 × 33,863.42
  4. Step 4: Simplify right side
    53,978.96x = 2,523,693,107.42
  5. Step 5: Solve for x
    x = 2,523,693,107.42/53,978.96
  6. Step 6: Final answer
    x = 46,753.27

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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.