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Finding the Fourth Proportional to 105,422.74, 145,480.89 and 57,676.48

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Solution

The fourth proportional to 105,422.74, 145,480.89 and 57,676.48 is: 79,592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,422.74 : 145,480.89 = 57,676.48 : x
  2. Step 2: Convert to fraction form
    105,422.74/145,480.89 = 57,676.48/x
  3. Step 3: Cross multiply
    105,422.74x = 145,480.89 × 57,676.48
  4. Step 4: Simplify right side
    105,422.74x = 8,390,825,608.03
  5. Step 5: Solve for x
    x = 8,390,825,608.03/105,422.74
  6. Step 6: Final answer
    x = 79,592.18

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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.