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Finding the Fourth Proportional to 80,048, 120,034.28 and 46,777.64

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Solution

The fourth proportional to 80,048, 120,034.28 and 46,777.64 is: 70,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,048 : 120,034.28 = 46,777.64 : x
  2. Step 2: Convert to fraction form
    80,048/120,034.28 = 46,777.64/x
  3. Step 3: Cross multiply
    80,048x = 120,034.28 × 46,777.64
  4. Step 4: Simplify right side
    80,048x = 5,614,920,337.50
  5. Step 5: Solve for x
    x = 5,614,920,337.50/80,048
  6. Step 6: Final answer
    x = 70,144.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.