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Finding the Fourth Proportional to 53,902.38, 74,383.74 and 30,027.60

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Solution

The fourth proportional to 53,902.38, 74,383.74 and 30,027.60 is: 41,437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,902.38 : 74,383.74 = 30,027.60 : x
  2. Step 2: Convert to fraction form
    53,902.38/74,383.74 = 30,027.60/x
  3. Step 3: Cross multiply
    53,902.38x = 74,383.74 × 30,027.60
  4. Step 4: Simplify right side
    53,902.38x = 2,233,565,191.22
  5. Step 5: Solve for x
    x = 2,233,565,191.22/53,902.38
  6. Step 6: Final answer
    x = 41,437.23

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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.