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Finding the Fourth Proportional to 105,676.48, 145,834.72 and 57,928.80

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Solution

The fourth proportional to 105,676.48, 145,834.72 and 57,928.80 is: 79,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,676.48 : 145,834.72 = 57,928.80 : x
  2. Step 2: Convert to fraction form
    105,676.48/145,834.72 = 57,928.80/x
  3. Step 3: Cross multiply
    105,676.48x = 145,834.72 × 57,928.80
  4. Step 4: Simplify right side
    105,676.48x = 8,448,030,327.94
  5. Step 5: Solve for x
    x = 8,448,030,327.94/105,676.48
  6. Step 6: Final answer
    x = 79,942.39

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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.