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Finding the Fourth Proportional to 105,668.37, 145,821.69 and 57,923.73

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Solution

The fourth proportional to 105,668.37, 145,821.69 and 57,923.73 is: 79,934.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,668.37 : 145,821.69 = 57,923.73 : x
  2. Step 2: Convert to fraction form
    105,668.37/145,821.69 = 57,923.73/x
  3. Step 3: Cross multiply
    105,668.37x = 145,821.69 × 57,923.73
  4. Step 4: Simplify right side
    105,668.37x = 8,446,536,199.70
  5. Step 5: Solve for x
    x = 8,446,536,199.70/105,668.37
  6. Step 6: Final answer
    x = 79,934.39

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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.