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Finding the Fourth Proportional to 54,964.80, 82,447.20 and 48,841.20

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Solution

The fourth proportional to 54,964.80, 82,447.20 and 48,841.20 is: 73,261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,964.80 : 82,447.20 = 48,841.20 : x
  2. Step 2: Convert to fraction form
    54,964.80/82,447.20 = 48,841.20/x
  3. Step 3: Cross multiply
    54,964.80x = 82,447.20 × 48,841.20
  4. Step 4: Simplify right side
    54,964.80x = 4,026,820,184.64
  5. Step 5: Solve for x
    x = 4,026,820,184.64/54,964.80
  6. Step 6: Final answer
    x = 73,261.80

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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.