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Finding the Fourth Proportional to 53,378.34, 80,096.06 and 34,653.97

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Solution

The fourth proportional to 53,378.34, 80,096.06 and 34,653.97 is: 51,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,378.34 : 80,096.06 = 34,653.97 : x
  2. Step 2: Convert to fraction form
    53,378.34/80,096.06 = 34,653.97/x
  3. Step 3: Cross multiply
    53,378.34x = 80,096.06 × 34,653.97
  4. Step 4: Simplify right side
    53,378.34x = 2,775,646,287.09
  5. Step 5: Solve for x
    x = 2,775,646,287.09/53,378.34
  6. Step 6: Final answer
    x = 51,999.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.