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Finding the Fourth Proportional to 39,614.34, 54,667.80 and 22,847.34

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Solution

The fourth proportional to 39,614.34, 54,667.80 and 22,847.34 is: 31,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,614.34 : 54,667.80 = 22,847.34 : x
  2. Step 2: Convert to fraction form
    39,614.34/54,667.80 = 22,847.34/x
  3. Step 3: Cross multiply
    39,614.34x = 54,667.80 × 22,847.34
  4. Step 4: Simplify right side
    39,614.34x = 1,249,014,018.66
  5. Step 5: Solve for x
    x = 1,249,014,018.66/39,614.34
  6. Step 6: Final answer
    x = 31,529.34

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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.