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Finding the Fourth Proportional to 39,548.08, 54,571.08 and 22,777.84

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Solution

The fourth proportional to 39,548.08, 54,571.08 and 22,777.84 is: 31,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,548.08 : 54,571.08 = 22,777.84 : x
  2. Step 2: Convert to fraction form
    39,548.08/54,571.08 = 22,777.84/x
  3. Step 3: Cross multiply
    39,548.08x = 54,571.08 × 22,777.84
  4. Step 4: Simplify right side
    39,548.08x = 1,243,011,328.87
  5. Step 5: Solve for x
    x = 1,243,011,328.87/39,548.08
  6. Step 6: Final answer
    x = 31,430.38

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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.