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Finding the Fourth Proportional to 53,842.34, 74,301.35 and 33,710.33

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Solution

The fourth proportional to 53,842.34, 74,301.35 and 33,710.33 is: 46,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,842.34 : 74,301.35 = 33,710.33 : x
  2. Step 2: Convert to fraction form
    53,842.34/74,301.35 = 33,710.33/x
  3. Step 3: Cross multiply
    53,842.34x = 74,301.35 × 33,710.33
  4. Step 4: Simplify right side
    53,842.34x = 2,504,722,487.89
  5. Step 5: Solve for x
    x = 2,504,722,487.89/53,842.34
  6. Step 6: Final answer
    x = 46,519.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.