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Finding the Fourth Proportional to 48,796.64, 73,216.80 and 22,487.28

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Solution

The fourth proportional to 48,796.64, 73,216.80 and 22,487.28 is: 33,740.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,796.64 : 73,216.80 = 22,487.28 : x
  2. Step 2: Convert to fraction form
    48,796.64/73,216.80 = 22,487.28/x
  3. Step 3: Cross multiply
    48,796.64x = 73,216.80 × 22,487.28
  4. Step 4: Simplify right side
    48,796.64x = 1,646,446,682.30
  5. Step 5: Solve for x
    x = 1,646,446,682.30/48,796.64
  6. Step 6: Final answer
    x = 33,740.98

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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.