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Finding the Fourth Proportional to 48,784, 67,296 and 32,841.28

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Solution

The fourth proportional to 48,784, 67,296 and 32,841.28 is: 45,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784 : 67,296 = 32,841.28 : x
  2. Step 2: Convert to fraction form
    48,784/67,296 = 32,841.28/x
  3. Step 3: Cross multiply
    48,784x = 67,296 × 32,841.28
  4. Step 4: Simplify right side
    48,784x = 2,210,086,778.88
  5. Step 5: Solve for x
    x = 2,210,086,778.88/48,784
  6. Step 6: Final answer
    x = 45,303.52

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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.