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Finding the Fourth Proportional to 48,855.68, 73,275.12 and 13,787.12

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Solution

The fourth proportional to 48,855.68, 73,275.12 and 13,787.12 is: 20,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,855.68 : 73,275.12 = 13,787.12 : x
  2. Step 2: Convert to fraction form
    48,855.68/73,275.12 = 13,787.12/x
  3. Step 3: Cross multiply
    48,855.68x = 73,275.12 × 13,787.12
  4. Step 4: Simplify right side
    48,855.68x = 1,010,252,872.45
  5. Step 5: Solve for x
    x = 1,010,252,872.45/48,855.68
  6. Step 6: Final answer
    x = 20,678.31

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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.