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Finding the Fourth Proportional to 80,412, 110,968.65 and 46,884.48

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Solution

The fourth proportional to 80,412, 110,968.65 and 46,884.48 is: 64,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,412 : 110,968.65 = 46,884.48 : x
  2. Step 2: Convert to fraction form
    80,412/110,968.65 = 46,884.48/x
  3. Step 3: Cross multiply
    80,412x = 110,968.65 × 46,884.48
  4. Step 4: Simplify right side
    80,412x = 5,202,707,451.55
  5. Step 5: Solve for x
    x = 5,202,707,451.55/80,412
  6. Step 6: Final answer
    x = 64,700.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.