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Finding the Fourth Proportional to 80,336.16, 110,871.72 and 46,800

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Solution

The fourth proportional to 80,336.16, 110,871.72 and 46,800 is: 64,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,336.16 : 110,871.72 = 46,800 : x
  2. Step 2: Convert to fraction form
    80,336.16/110,871.72 = 46,800/x
  3. Step 3: Cross multiply
    80,336.16x = 110,871.72 × 46,800
  4. Step 4: Simplify right side
    80,336.16x = 5,188,796,496
  5. Step 5: Solve for x
    x = 5,188,796,496/80,336.16
  6. Step 6: Final answer
    x = 64,588.56

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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.