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Finding the Fourth Proportional to 38,782.80, 57,911.48 and 30,795.68

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Solution

The fourth proportional to 38,782.80, 57,911.48 and 30,795.68 is: 45,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,782.80 : 57,911.48 = 30,795.68 : x
  2. Step 2: Convert to fraction form
    38,782.80/57,911.48 = 30,795.68/x
  3. Step 3: Cross multiply
    38,782.80x = 57,911.48 × 30,795.68
  4. Step 4: Simplify right side
    38,782.80x = 1,783,423,406.41
  5. Step 5: Solve for x
    x = 1,783,423,406.41/38,782.80
  6. Step 6: Final answer
    x = 45,984.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.