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Finding the Fourth Proportional to 54,251.96, 74,835.02 and 35,855.14

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Solution

The fourth proportional to 54,251.96, 74,835.02 and 35,855.14 is: 49,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,251.96 : 74,835.02 = 35,855.14 : x
  2. Step 2: Convert to fraction form
    54,251.96/74,835.02 = 35,855.14/x
  3. Step 3: Cross multiply
    54,251.96x = 74,835.02 × 35,855.14
  4. Step 4: Simplify right side
    54,251.96x = 2,683,220,119.00
  5. Step 5: Solve for x
    x = 2,683,220,119.00/54,251.96
  6. Step 6: Final answer
    x = 49,458.49

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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.