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Finding the Fourth Proportional to 54,855.65, 75,706.16 and 33,343.50

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Solution

The fourth proportional to 54,855.65, 75,706.16 and 33,343.50 is: 46,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,855.65 : 75,706.16 = 33,343.50 : x
  2. Step 2: Convert to fraction form
    54,855.65/75,706.16 = 33,343.50/x
  3. Step 3: Cross multiply
    54,855.65x = 75,706.16 × 33,343.50
  4. Step 4: Simplify right side
    54,855.65x = 2,524,308,179.24
  5. Step 5: Solve for x
    x = 2,524,308,179.24/54,855.65
  6. Step 6: Final answer
    x = 46,017.29

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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.