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Finding the Fourth Proportional to 105,538.37, 145,644.55 and 57,796.16

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Solution

The fourth proportional to 105,538.37, 145,644.55 and 57,796.16 is: 79,759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,538.37 : 145,644.55 = 57,796.16 : x
  2. Step 2: Convert to fraction form
    105,538.37/145,644.55 = 57,796.16/x
  3. Step 3: Cross multiply
    105,538.37x = 145,644.55 × 57,796.16
  4. Step 4: Simplify right side
    105,538.37x = 8,417,694,842.21
  5. Step 5: Solve for x
    x = 8,417,694,842.21/105,538.37
  6. Step 6: Final answer
    x = 79,759.57

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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.