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Finding the Fourth Proportional to 105,489.72, 145,575.26 and 57,091.64

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Solution

The fourth proportional to 105,489.72, 145,575.26 and 57,091.64 is: 78,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,489.72 : 145,575.26 = 57,091.64 : x
  2. Step 2: Convert to fraction form
    105,489.72/145,575.26 = 57,091.64/x
  3. Step 3: Cross multiply
    105,489.72x = 145,575.26 × 57,091.64
  4. Step 4: Simplify right side
    105,489.72x = 8,311,130,336.83
  5. Step 5: Solve for x
    x = 8,311,130,336.83/105,489.72
  6. Step 6: Final answer
    x = 78,786.16

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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.