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Finding the Fourth Proportional to 80,200.40, 110,658.83 and 47,930.16

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Solution

The fourth proportional to 80,200.40, 110,658.83 and 47,930.16 is: 66,133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,200.40 : 110,658.83 = 47,930.16 : x
  2. Step 2: Convert to fraction form
    80,200.40/110,658.83 = 47,930.16/x
  3. Step 3: Cross multiply
    80,200.40x = 110,658.83 × 47,930.16
  4. Step 4: Simplify right side
    80,200.40x = 5,303,895,602.63
  5. Step 5: Solve for x
    x = 5,303,895,602.63/80,200.40
  6. Step 6: Final answer
    x = 66,133.04

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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.