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Finding the Fourth Proportional to 57,684.82, 86,406.14 and 36,614.02

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Solution

The fourth proportional to 57,684.82, 86,406.14 and 36,614.02 is: 54,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,684.82 : 86,406.14 = 36,614.02 : x
  2. Step 2: Convert to fraction form
    57,684.82/86,406.14 = 36,614.02/x
  3. Step 3: Cross multiply
    57,684.82x = 86,406.14 × 36,614.02
  4. Step 4: Simplify right side
    57,684.82x = 3,163,676,138.08
  5. Step 5: Solve for x
    x = 3,163,676,138.08/57,684.82
  6. Step 6: Final answer
    x = 54,844.17

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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.